Title

DYNAMICS OF A PREY AND
TWO PREDATORS SYSTEM WITH TIME DELAY

Authors

T. Vidyanath, K. Lakshmi Narayan, Shahnaz Bathul
Department of Mathematics
AVNIET, Hyderabad, INDIA
Department of Mathematics
VITS, Hyderabad, INDIA
Department of Mathematics
JNTUH, Hyderabad, INDIA

Abstract

The aim of this paper is to study the prey-predator system with delay effects. Initially, the positive equilibrium point of the proposed system is derived and its local stability is discussed using Routh-Hurwitz criterion. A well suited Lyapunov function describes the global asymptotic stability of the system. To preserve the stability of the system without violating its properties the length of time delay is estimated and some important conclusions are made at the end.

History

Received: 2017-08-04
Revised: 2017-11-20
Published: April 13, 2018

AMS Classification, Key Words

AMS Subject Classification: 92D40, 34Dxx
Key Words and Phrases: prey-predation, mutualism, time delay, global stability

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How to Cite?

DOI: 10.12732/ijpam.v118i3.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 3
Pages: 613 - 623

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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