Study of Dynamical Behavior of a Delayed Stage-Structured Predator-Prey Model with Disease in Prey-Reference-Cited by-同舟云学术

Study of Dynamical Behavior of a Delayed Stage-Structured Predator-Prey Model with Disease in Prey

Published:2022-07-17 Issue:4 Volume:7 Page:503-524
ISSN:2455-7749
Container-title:International Journal of Mathematical, Engineering and Management Sciences
language:en
Short-container-title:Int. j. math. eng. manag. sci.

Author:

Das Debashis¹,Chakraborty Sarbani¹

Affiliation:

1. Department of Mathematics, West Bengal State University, Barasat, Kolkata, West Bengal, India

Abstract

The present paper deals with the dynamics of a stage-structured predator-prey model, with a ratio-dependent functional response including gestational delay in the predator. The prey is carrying an infection which affects the predator adversely. The boundedness of solutions and the stability of equilibrium points have been investigated. There is a Hopf-bifurcation arising out of the variation in the time-delay parameter. Numerical simulations of phase-plane diagrams, and bifurcation diagrams illustrate the dependence of the system on the delay -time. The effect of the disease transmission from prey to predator has also been illustrated through simulations.

Publisher

Ram Arti Publishers

Subject

General Engineering,General Business, Management and Accounting,General Mathematics,General Computer Science

Reference43 articles.

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