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iConcept Journal of Computational and Mathematical Biology
Title
iConcept Journal of Computational and Mathematical Biology
Editor
Maurice Ling
ISSN
2219-1402
Publisher
iConcept Press

iConcept Journal of Computational and Mathematical Biology

Chaos in a Prey-Predator model with Infection in Predator - A Parameter Domain Analysis

by Prasenjit Das, Debasis Mukherjee and Kalyan Das

Volume: 3 (2014); Issue: 4

Abstract

A prey-predator system with a disease in the predator population is a challenging issue in eco-epidemics which is proposed here and analyzed as a set of three dimensional ordinary non-linear differential equations. The discrete analogous of the eco-epidemic model is also investigated. We observed that the system converges to a unique equilibrium point for certain prey density threshold level and beyond which stability of the system is disturbed. The results of our study suggest that discrete version of the continuous model exhibits different dynamical complexity including chaos in real situation.

Author Details

Prasenjit Das
Baikunthapur High School, Kultali, India, India
Debasis Mukherjee
Deptartment of Mathematics, Vivekananda College, Kolkata, India, India
Kalyan Das
National Institute of Food Technology Entrepreneurship and Management, Haryana, India, India

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