Contribution to Competing Species Modeling with Distributed Delay
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Competing species
Differential Equations
Distributed Delay
Periodic orbit
Hopf Bifurcation
especies competidoras
ecuaciones diferenciales
retardo distribuido
órbita periódica
bifurcación de Hopf
Differential Equations
Distributed Delay
Periodic orbit
Hopf Bifurcation
especies competidoras
ecuaciones diferenciales
retardo distribuido
órbita periódica
bifurcación de Hopf
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Journal Title
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Volume Title
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Instituto Tecnológico de Santo Domingo (INTEC)
In this paper a competing species model is analyzed taking into account the seminal paper of Hsu, Hubbell and Waltman (1978), where two predators compete for a common prey without interference between rivals. Here a distributed delay is introduced in each one of the equations of the predator populations in the same way as suggested by Wolkowicz, Xia & Ruan (1997), in order to model the conversion time lag of consumed prey biomass into predator biomass. Using the linear trick chain technique, the solutions are analyzed from an “equivalent system” of ordinary differential equations looking to answer under what conditions will neither, one, or both species of predator populations survive, giving the appropriate insight of the biological point of view.
In this paper a competing species model is analyzed taking into account the seminal paper of Hsu, Hubbell and Waltman (1978), where two predators compete for a common prey without interference between rivals. Here a distributed delay is introduced in each one of the equations of the predator populations in the same way as suggested by Wolkowicz, Xia & Ruan (1997), in order to model the conversion time lag of consumed prey biomass into predator biomass. Using the linear trick chain technique, the solutions are analyzed from an “equivalent system” of ordinary differential equations looking to answer under what conditions will neither, one, or both species of predator populations survive, giving the appropriate insight of the biological point of view.
In this paper a competing species model is analyzed taking into account the seminal paper of Hsu, Hubbell and Waltman (1978), where two predators compete for a common prey without interference between rivals. Here a distributed delay is introduced in each one of the equations of the predator populations in the same way as suggested by Wolkowicz, Xia & Ruan (1997), in order to model the conversion time lag of consumed prey biomass into predator biomass. Using the linear trick chain technique, the solutions are analyzed from an “equivalent system” of ordinary differential equations looking to answer under what conditions will neither, one, or both species of predator populations survive, giving the appropriate insight of the biological point of view.
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info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/publishedVersion
Source
Science, Environment and Climate; Vol. 5 No. 1 (2022): Science, Environment and Climate; 85-95
Ciencia, Ambiente y Clima; Vol. 5 Núm. 1 (2022): Ciencia, Ambiente y Clima; 85-95
2636-2333
2636-2317
10.22206/cac.2022.v5i1
Ciencia, Ambiente y Clima; Vol. 5 Núm. 1 (2022): Ciencia, Ambiente y Clima; 85-95
2636-2333
2636-2317
10.22206/cac.2022.v5i1