Growth on multiple interactive-essential resources in a self-cycling fermentor: An impulsive differential equations approach
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Tyler Meadows, Gail S.K. Wolkowicz (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 24, 2020 Category: Research Source Type: research

Global weak solutions for a 3D chemotaxis–Stokes system with slow p-Laplacian diffusion and rotation
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Mengdi Zhuang, Wei Wang, Sining Zheng (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 23, 2020 Category: Research Source Type: research

Periodic solutions for the Lorentz force equation with singular potentials
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Manuel Garzón, Pedro J. Torres (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 22, 2020 Category: Research Source Type: research

Global solution curves for first order periodic problems, with applications
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Philip Korman, Dieter S. Schmidt (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 22, 2020 Category: Research Source Type: research

A general stability result for the semilinear viscoelastic wave model under localized effects
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): J.C.O. Faria, M.A. Jorge Silva, A.Y. Souza Franco (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 22, 2020 Category: Research Source Type: research

Bifurcation diagrams in a class of Kolmogorov systems
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): G. Tigan, C. Lazureanu, F. Munteanu, C. Sterbeti, A. Florea (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 21, 2020 Category: Research Source Type: research

Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Wenbin Lv (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 20, 2020 Category: Research Source Type: research

Liouville theorem of axially symmetric Navier–Stokes equations with growing velocity at infinity
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Xinghong Pan, Zijin Li (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 20, 2020 Category: Research Source Type: research

Potential well method for p(x)-Laplacian equations with variable exponent sources
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Le Cong Nhan, Quach Van Chuong, Le Xuan Truong (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 20, 2020 Category: Research Source Type: research

Phase portraits of planar piecewise linear refracting systems: Focus-saddle case
Publication date: December 2020Source: Nonlinear Analysis: Real World Applications, Volume 56Author(s): Shimin Li, Jaume Llibre (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 20, 2020 Category: Research Source Type: research

Editorial Board
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - May 9, 2020 Category: Research Source Type: research

Mathematical modelling and analysis of temperature effects in MEMS
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Tim Würth (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 29, 2020 Category: Research Source Type: research

Blowup for projected 2-dimensional C2 solutions of compressible Euler equations with Coriolis force
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Choryin Ho, Manwai Yuen (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 23, 2020 Category: Research Source Type: research

Global directed dynamics of a Lotka–Volterra competition-diffusion system
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Qi Wang (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 23, 2020 Category: Research Source Type: research

Singular quasilinear elliptic systems involving gradient terms
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Pasquale Candito, Roberto Livrea, Abdelkrim Moussaoui (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 21, 2020 Category: Research Source Type: research

The end-point regularity criterion for the Navier–Stokes equations in terms of ∂3u
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Zdenek Skalak (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 14, 2020 Category: Research Source Type: research

Coexistence in seasonally varying predator–prey systems with Allee effect
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): C. Rebelo, C. Soresina (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 11, 2020 Category: Research Source Type: research

On the solutions for an Ostrovsky type equation
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Giuseppe Maria Coclite, Lorenzo di Ruvo (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 11, 2020 Category: Research Source Type: research

Qualitative analysis of a curvature equation modelling MEMS with vertical loads
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Chiara Corsato, Colette De Coster, Franco Obersnel, Pierpaolo Omari (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 11, 2020 Category: Research Source Type: research

Interior gradient estimate for steady flows of electrorheological fluids
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Cholmin Sin (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 9, 2020 Category: Research Source Type: research

Existence of ω-periodic solutions for a delayed chemostat with periodic inputs
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Pablo Amster, Gonzalo Robledo, Daniel Sepúlveda (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - April 4, 2020 Category: Research Source Type: research

Synchronization of boundary coupled Hindmarsh–Rose neuron network
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Chi Phan, Yuncheng You (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 31, 2020 Category: Research Source Type: research

Dynamic behaviors of a predator–prey model with weak additive Allee effect on prey
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Conghui Zhang, Wenbin Yang (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 30, 2020 Category: Research Source Type: research

Dynamics of a non-autonomous biocontrol model on native consumer, biocontrol agent and their predator
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Dingyong Bai, Wenrui Zeng, Jiachun Wu, Yun Kang (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 30, 2020 Category: Research Source Type: research

Global strong solutions for variable density incompressible asymmetric fluids in thin domains
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Pablo Braz e Silva, Felipe W. Cruz, Marko A. Rojas-Medar (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 21, 2020 Category: Research Source Type: research

On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Anna Lisa Amadori, Francesca Gladiali (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 20, 2020 Category: Research Source Type: research

Weak–strong uniqueness for the Landau–Lifshitz–Gilbert equation in micromagnetics
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 18, 2020 Category: Research Source Type: research

Nonlinear nonhomogeneous Robin problems with gradient dependent reaction
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Leszek Gasiński, Ireneusz Krech, Nikolaos S. Papageorgiou (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 17, 2020 Category: Research Source Type: research

The research of a Stefan problem with unknown pressure in a liquid phase
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Murat Tilepiev, Perizat Beisebay, Aliya Aruova, Erbulat Akzhigitov (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 14, 2020 Category: Research Source Type: research

Editorial Board
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 11, 2020 Category: Research Source Type: research

On the minimal Keller–Segel system with logistic growth
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Aung Zaw Myint, Jianping Wang, Mingxin Wang (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 11, 2020 Category: Research Source Type: research

Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Shuang-Ming Wang, Zhaosheng Feng, Zhi-Cheng Wang, Liang Zhang (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 7, 2020 Category: Research Source Type: research

Oscillating solutions for nonlinear equations involving the Pucci’s extremal operators
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Pietro d’Avenia, Alessio Pomponio (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 7, 2020 Category: Research Source Type: research

Decay estimates for Timoshenko systems with complementary frictional damping and memory effect
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Hui Zhang (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 7, 2020 Category: Research Source Type: research

Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): Jialiang Zhang, Renhao Cui (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 2, 2020 Category: Research Source Type: research

Analysis of a delayed and diffusive oncolytic M1 virotherapy model with immune response
Publication date: October 2020Source: Nonlinear Analysis: Real World Applications, Volume 55Author(s): A.M. Elaiw, A.D. Al Agha (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - March 1, 2020 Category: Research Source Type: research

Minimization principles for elliptic hemivariational inequalities
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Weimin Han (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - February 25, 2020 Category: Research Source Type: research

A generalized infectious model induced by the contacting distance (CTD)
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Zhihui Ma, Shufan Wang, Xiaohua LiAbstractThe aim of this paper is to theoretically study the effect of the contacting distance (CTD) between the susceptible and infectious individuals in controlling infectious diseases. This paper formulates a generalized SEIR model incorporating the effect of the contacting distance (CTD). The dynamical behaviors of the proposed model are investigated and the controlling measures of the infectious diseases are developed. The results show that the contacting distance (CTD) between the sus...
Source: Nonlinear Analysis: Real World Applications - February 23, 2020 Category: Research Source Type: research

Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): E. Freire, E. Ponce, J. Ros, E. Vela, A. AmadorAbstractIn this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three zones is analyzed. By adapting the so-called closing equations method, which constitutes a suitable technique to detect limit cycles bifurcation in piecewise linear systems, we give for the first time a complete characterization of the existence and stability of the limit cycle of large amplitude that bifurcates from the point at infinity. Analytic...
Source: Nonlinear Analysis: Real World Applications - February 18, 2020 Category: Research Source Type: research

Traveling wave solutions for a predator–prey system with two predators and one prey
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara, Chin-Chin WuAbstractWe study a predator–prey model with two alien predators and one aborigine prey in which the net growth rates of both predators are negative. We characterize the invading speed of these two predators by the minimal wave speed of traveling wave solutions connecting the predator-free state to the co-existence state. The proof of the existence of traveling waves is based on a standard method by constructing (generalized) upper-lower-solutions with th...
Source: Nonlinear Analysis: Real World Applications - February 14, 2020 Category: Research Source Type: research

Dynamics of adaptation in an anisotropic phenotype-fitness landscape
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): F. Hamel, F. Lavigne, G. Martin, L. RoquesAbstractWe study the dynamics of adaptation of a large asexual population in a n-dimensional phenotypic space, under anisotropic mutation and selection effects. When n=1 or under isotropy assumptions, the ‘replicator-mutator’ equation is a standard model to describe these dynamics. However, the n-dimensional anisotropic case remained largely unexplored.We prove here that the equation admits a unique solution, which is interpreted as the phenotype distribution, and we pr...
Source: Nonlinear Analysis: Real World Applications - February 11, 2020 Category: Research Source Type: research

Persistence and extinction of nonlocal dispersal evolution equations in moving habitats
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Patrick De Leenheer, Wenxian Shen, Aijun ZhangAbstractThis paper is devoted to the study of persistence and extinction of a species modeled by nonlocal dispersal evolution equations in moving habitats with moving speed c. It is shown that the species becomes extinct if the moving speed c is larger than the so called spreading speed c∗, where c∗ is determined by the maximum linearized growth rate function. If the moving speed c is smaller than c∗, it is shown that the persistence of the species depends ...
Source: Nonlinear Analysis: Real World Applications - February 9, 2020 Category: Research Source Type: research

Global existence and asymptotic dynamics in a 3D fractional chemotaxis system with singular sensitivity
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Kerui Jiang, Zuhan Liu, Ling ZhouAbstractIn this paper, we investigate the global existence and asymptotic dynamics of solutions to a fractional singular chemotaxis system in three dimensional whole space. We deal with the new difficulties arising from fractional diffusion by using Riesz transform and Kato-Ponce’s commutator estimates appropriately, and establish the local existence of solution. Then with the help of combining the local existence and the a priori estimates, the global existence and uniqueness of solu...
Source: Nonlinear Analysis: Real World Applications - February 8, 2020 Category: Research Source Type: research

Modeling and analysis of recurrent autoimmune disease
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Yancong Xu, Yu Yang, Fanwei Meng, Pei YuAbstractIn this paper, we consider dynamics and bifurcations in two HIV models with cell-to-cell interaction. The difference between the two models lies in the inclusion or omission of the effect of involvement. Particular attention is focused on the effects due to the cell-to-cell transmission and the effect of the involvement. We investigate the local and global stability of equilibria of the two models and give a comparison. We derive the existence condition for Hopf bifurcation a...
Source: Nonlinear Analysis: Real World Applications - February 6, 2020 Category: Research Source Type: research

Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Guglielmo Feltrin, Paolo GidoniAbstractWe investigate sufficient conditions for the presence of coexistence states for different genotypes in a diploid diallelic population with dominance distributed on a heterogeneous habitat, considering also the interaction between genes at multiple loci. In mathematical terms, this corresponds to the study of the Neumann boundary value problem p1′′+λ1w1(x,p2)f1(p1)=0,in Ω,p2′′+λ2w2(x,p1)f2(p2)=0,in Ω,p1′=p2′=0,on&n...
Source: Nonlinear Analysis: Real World Applications - February 5, 2020 Category: Research Source Type: research

Stability and cross-diffusion-driven instability in a diffusive predator–prey system with hunting cooperation functional response
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Danxia Song, Chao Li, Yongli SongAbstractThis paper presents a qualitative study of a diffusive predator–prey system with the hunting cooperation functional response. For the system without diffusion, the existence, stability and Hopf bifurcation of the positive equilibrium are explicitly determined. It is shown that the hunting cooperation affects not only the existence of the positive equilibrium but also the stability. For the diffusive system, the stability and cross-diffusion driven Turing instability are invest...
Source: Nonlinear Analysis: Real World Applications - January 31, 2020 Category: Research Source Type: research

On a class of nonlinear stochastic integral equations
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): R. NegreaAbstractWe prove some existence and uniqueness results for a nonlinear stochastic integral equation using fixed-point theory methods to ensure the convergence of the successive approximations to the unique random solution. (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - January 30, 2020 Category: Research Source Type: research

Qualitative analysis on a diffusive age-structured heroin transmission model
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Xi-Chao Duan, Xue-Zhi Li, Maia MartchevaAbstractIn this paper, to understand the impact of spatial heterogeneity of treatment and movement of individuals on the persistence and extinction of heroin spread, we propose a new diffusive heroin transmission model with treatment-dependent age-structure. The basic reproduction number in heterogenous environment R0 of the system is defined, which is consistent with the one deduced from the next generation operator approach R(x). The threshold dynamics in terms of the basic reprodu...
Source: Nonlinear Analysis: Real World Applications - January 28, 2020 Category: Research Source Type: research

Decay rates of solutions to Euler equations with time-dependent damping
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Lina ZhangAbstractIn this paper, we are concerned with the isentropic Euler equations with time-dependent damping like −μ1+tρu for physical parameter μ>0. By using the technical time-weighted energy method, the global existence is proved and the decay estimates are obtained for the solutions of Euler equations. It is interesting that the new decay estimates are dependent on the physical parameter μ. And the decay rates are much better than that obtained by Pan. (Source: Nonlinear Analysis: Real World Applications)
Source: Nonlinear Analysis: Real World Applications - January 28, 2020 Category: Research Source Type: research

Mathematical analysis and optimal control of a cholera epidemic in different human communities with individuals’ migration
Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Eric Kokomo, Bongor Danhrée, Yves EmvuduAbstractWe propound a deterministic, nonlinear model for the transmission dynamics of cholera in different human communities with individuals’ migration. The considered different human communities are crossed by a running water which is contaminated by the vibrio cholerae bacterium. The formulated model for each community which is an initial/boundary-value problem constituted of four parabolic partial differential equations, integrates antibiotic treatment, hydration the...
Source: Nonlinear Analysis: Real World Applications - January 25, 2020 Category: Research Source Type: research