Exploring the complexity and chaotic behavior in plankton-fish system with mutual interference and time delay.

Exploring the complexity and chaotic behavior in plankton-fish system with mutual interference and time delay.
Biosystems. 2020 Nov 03;198:104283
Authors: Ojha A, Thakur NK
Abstract
Anti-predator defense is an important mechanism that preys use to reduce the stress of constant struggle in a high concentration of predator and commonly established through evolution that supports prey organisms against predators. In the current study, we explore a three-tier plankton-fish interaction model using two kinds of function form, Monod-Haldane and Beddington-DeAngelis type. We introduce a discrete-time delay in the top predator population due to gestation. Our main objective persuades in this article is to address the role of inhibitory effect, mutual interference and gestation delay on the system dynamics in the presence of intermediate and top predators population. We perform theoretical analyses such as positivity and boundedness along with the local stability conditions of the delayed plankton-fish system. We also derive the condition of stability and direction of Hopf-bifurcation by using normal form theory and center manifold theorem. Our numerical computation demonstrates the dynamical outcome such as periodic and chaotic solutions of the model system without and with time delay validates our analytical findings. We also draw bifurcation diagrams that show the complexity of different parameters of model system. Interestingly, extinction...

Source: Biosystems - November 3, 2020 Category: Biotechnology Authors: Ojha A, Thakur NK Tags: Biosystems Source Type: research