Disease Control in Eco-epidemic Prey-Predator Model: An Algebraic Study on Alternative Food Mechanism in Predator


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Authors

  • K. Sujatha Department of Mathematics, Meenakshi College for Women, Chennai, Tamilnadu, India
  • M. Gunasekaran PG Department of Mathematics, Sri Subramaniya Swami Government Arts College, Tiruttani, Tamilnadu, India

Keywords:

Mathematical modelling, Infected prey, Alternative food, stability, eco-epidemiology

Abstract

In this paper, the complex dynamic behavior of a discrete time non-linear mathematical prey -- predator model with a disease in the prey population is analyzed. The existence, the boundedness and the stability of equilibrium points are studied algebraically. The main objective of this work is to provide a mathematical framework to study the response of a prey -- predator model to a disease in the prey population and to understand the role of supplying alternative food to predator as disease controller in the eco-epidemiological system.

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Published

01-12-2016

How to Cite

K. Sujatha, & M. Gunasekaran. (2016). Disease Control in Eco-epidemic Prey-Predator Model: An Algebraic Study on Alternative Food Mechanism in Predator. International Journal of Mathematics And Its Applications, 4(4 (Special Issue), 56–66. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1420

Issue

Vol. 4 No. 4 (Special Issue) (2016)

Section

Research Article

License

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