Perturbations on prey predator equilibria: An in silico approach effect of epidemics on prey-predator system

Author

Paul, A. ; Aiswaria, Lakshmi K. G. ; Anitha, V.R. ; Reshma, P. ; Reshmi, Nair L. R. ; Vidya, Vinodini M. D. ; Manojkumar, T.K.

Author_Institution

Adv. Sch. of Comput. Sci., Indian Inst. of Inf. Technol. & Manage. - Kerala, Trivandrum, India

fYear

2014

fDate

24-27 Sept. 2014

Firstpage

428

Lastpage

432

Abstract

Traditional models state that both prey and predator population depend each other and they follow same cycle indefinitely until an external force is used. In this manuscript the effect of epidemics on two/three species prey-predator system under the influence of epidemics is studied using time delay models. A z-shaped function in prey-predator mathematical model to find the effect of epidemics is introduced. After the epidemics both prey and predators showed a constant rate of change in population. In three species model the second predator and prey species are not directly dependent so the effect of less number of prey species affects the second predator gradually so it does not show large variations whereas it keeps a linear behavior.

Keywords

delays; epidemics; perturbation techniques; predator-prey systems; epidemics; in silico approach; perturbations; prey predator equilibria; prey-predator mathematical model; prey-predator system; three species model; time delay models; z-shaped function; Biological system modeling; Delay effects; Mathematical model; Predator prey systems; Sociology; Stability analysis; Statistics; epidemics; linear beahviour; three species model; z-shaped function;

fLanguage

English

Publisher

ieee

Conference_Titel

Advances in Computing, Communications and Informatics (ICACCI, 2014 International Conference on

Conference_Location

New Delhi

Print_ISBN

978-1-4799-3078-4

Type

conf

DOI

10.1109/ICACCI.2014.6968523

Filename

6968523