The role of fear in a time-variant prey–predator model with multiple delays and alternative food source to predator

Devi, N. S. N. V. K. Vyshnavi; Jana, Dipak Kumar

doi:10.1007/s40435-021-00809-0

Cited by 4 publications

(1 citation statement)

References 29 publications

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“…In contrast, Das et al's study [5] examined how different diets might regulate chaotic dynamics in a predator-prey scenario when the predator had a sickness. In a time-varying prey-predator model with different delays and substitute food sources for predators, Devi and Jana [9] investigated the function of fear. Ghosh et al [10] examined prey-predator dynamics, wherein the predator receives more food from the prey shelter.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model

Hadi,

Bahlool

2023

MJMS

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This article examines and proposes a dietary chain model with a prey shelter and alternative food sources. It is anticipated that mid-predators' availability is positively correlated with the number of refuges. The solution's existence and exclusivity are examined. It is established that the solution is bounded. It is explored whether all potential equilibrium points exist and are locally stable. The Lyapunov approach is used to investigate the equilibrium points' worldwide stability. Utilizing a Sotomayor theorem application, local bifurcation is studied. Numerical simulation is used to better comprehend the dynamics of the model and define the control set of parameters.

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Section: Introductionmentioning

confidence: 99%

The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model

Hadi,

Bahlool

2023

MJMS

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Fostering roles of super predator in a three-species food chain

Jana

Roy

2022

Int. J. Dynam. Control

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A discussion of stability analysis for systems of differential equations with multiple and distributed delays

Dassios

Liu

Milano

2023

Int. J. Dynam. Control

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In this article, we consider a class of systems of multiple delay differential equations (MDDEs). We first define a characteristic matrix equation that can be used to analyze the stability of the equilibrium of a system of MDDEs. Then we construct a matrix based on the coefficients of the characteristic matrix equation and use the spectrum of this matrix to derive necessary and sufficient conditions for the system to be stable. Next we discuss a comparison of the stability equivalency between a system of delay differential equations (DDEs) to the system of MDDEs and relate our results to distributed delay systems (DDSs). Numerical examples are given to justify our theory.

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The role of fear in a time-variant prey–predator model with multiple delays and alternative food source to predator

Cited by 4 publications

References 29 publications

The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model

The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model

Fostering roles of super predator in a three-species food chain

A discussion of stability analysis for systems of differential equations with multiple and distributed delays

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