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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2017

09-09-2016 | Original Research

A strategy for a disease-free system- an eco-epidemiological model based study

Authors: Krishna Pada Das, Sudip Samanta, Santosh Biswas, Ali Saleh Alshomrani, Joydev Chattopadhyay

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

The present paper deals with an eco-epidemiological model consisting of susceptible prey, infected prey and predator. We assume that the recruitment of prey follows the saturating functional form due to habitat saturation. We make a general assumption of the non-restricted conversion rate of the predator population due to consumption of the infected prey population. We study the existence and stability criteria of the equilibrium points. Our results suggest that the predator population may be eliminated from the system due to the negative effect of infected prey; however, the negative impact can be buffered by the alternative food. Alternative food helps predator population to survive and makes the system disease free. The outcomes from the model are verified numerically by taking a set of biologically feasible parameter values.
previous article Existence and stability for Hadamard p-type fractional functional differential equations
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Appendix
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Metadata
Title
A strategy for a disease-free system- an eco-epidemiological model based study
Authors
Krishna Pada Das
Sudip Samanta
Santosh Biswas
Ali Saleh Alshomrani
Joydev Chattopadhyay
Publication date
09-09-2016
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-016-1050-7

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