On a population model with density dependence and Allee effect
Theory Biosci. 2023 Nov;142(4):423-441. doi: 10.1007/s12064-023-00407-y. Epub 2023 Oct 2.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Nov;142(4):423-441. doi: 10.1007/s12064-023-00407-y. Epub 2023 Oct 2.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Nov;142(4):423-441. doi: 10.1007/s12064-023-00407-y. Epub 2023 Oct 2.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Oct 2. doi: 10.1007/s12064-023-00407-y. Online ahead of print.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12064-023...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Oct 2. doi: 10.1007/s12064-023-00407-y. Online ahead of print.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12064-023...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Oct 2. doi: 10.1007/s12064-023-00407-y. Online ahead of print.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12064-023...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Oct 2. doi: 10.1007/s12064-023-00407-y. Online ahead of print.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12064-023...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Oct 2. doi: 10.1007/s12064-023-00407-y. Online ahead of print.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12064-023...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
On a population model with density dependence and Allee effect
Theory Biosci. 2023 Oct 2. doi: 10.1007/s12064-023-00407-y. Online ahead of print.ABSTRACTWe study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.PMID:37783964 | DOI:10.1007/s12064-023...
Source: Theory in Biosciences - October 2, 2023 Category: Biology Authors: J S C ánovas M Mu ñoz-Guillermo Source Type: research
Matrix stability and bifurcation analysis by a network-based approach
Theory Biosci. 2023 Sep 27. doi: 10.1007/s12064-023-00405-0. Online ahead of print.ABSTRACTIn this paper, we develop a network-based methodology to investigate the problems related to matrix stability and bifurcations in nonlinear dynamical systems. By matching a matrix with a network, i.e., interaction graph, we propose a new network-based matrix analysis method by proving a theorem about matrix determinant under which matrix stability can be considered in terms of feedback loops. Especially, the approach can tell us how a node, a path, or a feedback loop in the interaction graph affects matrix stability. In addition, the...
Source: Theory in Biosciences - September 27, 2023 Category: Biology Authors: Zhenzhen Zhao Ruoyu Tang Ruiqi Wang Source Type: research
Matrix stability and bifurcation analysis by a network-based approach
Theory Biosci. 2023 Sep 27. doi: 10.1007/s12064-023-00405-0. Online ahead of print.ABSTRACTIn this paper, we develop a network-based methodology to investigate the problems related to matrix stability and bifurcations in nonlinear dynamical systems. By matching a matrix with a network, i.e., interaction graph, we propose a new network-based matrix analysis method by proving a theorem about matrix determinant under which matrix stability can be considered in terms of feedback loops. Especially, the approach can tell us how a node, a path, or a feedback loop in the interaction graph affects matrix stability. In addition, the...
Source: Theory in Biosciences - September 27, 2023 Category: Biology Authors: Zhenzhen Zhao Ruoyu Tang Ruiqi Wang Source Type: research
Matrix stability and bifurcation analysis by a network-based approach
Theory Biosci. 2023 Sep 27. doi: 10.1007/s12064-023-00405-0. Online ahead of print.ABSTRACTIn this paper, we develop a network-based methodology to investigate the problems related to matrix stability and bifurcations in nonlinear dynamical systems. By matching a matrix with a network, i.e., interaction graph, we propose a new network-based matrix analysis method by proving a theorem about matrix determinant under which matrix stability can be considered in terms of feedback loops. Especially, the approach can tell us how a node, a path, or a feedback loop in the interaction graph affects matrix stability. In addition, the...
Source: Theory in Biosciences - September 27, 2023 Category: Biology Authors: Zhenzhen Zhao Ruoyu Tang Ruiqi Wang Source Type: research
Matrix stability and bifurcation analysis by a network-based approach
Theory Biosci. 2023 Sep 27. doi: 10.1007/s12064-023-00405-0. Online ahead of print.ABSTRACTIn this paper, we develop a network-based methodology to investigate the problems related to matrix stability and bifurcations in nonlinear dynamical systems. By matching a matrix with a network, i.e., interaction graph, we propose a new network-based matrix analysis method by proving a theorem about matrix determinant under which matrix stability can be considered in terms of feedback loops. Especially, the approach can tell us how a node, a path, or a feedback loop in the interaction graph affects matrix stability. In addition, the...
Source: Theory in Biosciences - September 27, 2023 Category: Biology Authors: Zhenzhen Zhao Ruoyu Tang Ruiqi Wang Source Type: research
Matrix stability and bifurcation analysis by a network-based approach
Theory Biosci. 2023 Sep 27. doi: 10.1007/s12064-023-00405-0. Online ahead of print.ABSTRACTIn this paper, we develop a network-based methodology to investigate the problems related to matrix stability and bifurcations in nonlinear dynamical systems. By matching a matrix with a network, i.e., interaction graph, we propose a new network-based matrix analysis method by proving a theorem about matrix determinant under which matrix stability can be considered in terms of feedback loops. Especially, the approach can tell us how a node, a path, or a feedback loop in the interaction graph affects matrix stability. In addition, the...
Source: Theory in Biosciences - September 27, 2023 Category: Biology Authors: Zhenzhen Zhao Ruoyu Tang Ruiqi Wang Source Type: research
Evolution by habit: Peirce, Lamarck, and teleology in biology
Theory Biosci. 2023 Sep 25. doi: 10.1007/s12064-023-00406-z. Online ahead of print.ABSTRACTIn our paper, we analyse the relationship of the evolutionary philosophy of Charles Sanders Peirce to Lamarckian natural philosophy and link it to concepts of teleology, focusing especially on Aristotelian and Peircean conceptions of the final cause. Peirce commented on evolution in many of his writings, especially in 1891-1893 in essays such as 'Evolutionary Love' (1893) or 'Man's Glassy Essence' (1892). After introducing the three types of evolution distinguished by Peirce, we compare Peirce's and Lamarck's views on evolution, habi...
Source: Theory in Biosciences - September 24, 2023 Category: Biology Authors: Jana Švorcová Ľudmila Lacková Eli ška Fulínová Source Type: research
