A predator-prey mathematical model with both the population affected by disease

  • Palash Mandal Hooghly Mohsin College, Chinsurah, Hooghly, West Bengal
  • Nanda Das Maulana Azad College, 8, Rafi Ahmed Kidwai Road, Kolkata 700013.
  • Samares Pal University of Kalyani, Kalyani-741235.

Abstract

We propose and analyze a predator-prey model, in which both population is infected by disease. The total population has been classified into susceptible prey, infected prey, susceptible predator, and infected predator. The disease cannot be transmitted between prey and predator by predation. The predation ability of susceptible predator is stronger than infected ones. Local stability analysis of biologically feasible equilibria is worked out with help of disease basic reproduction numbers. The system is persistent under some feasible parametric conditions. The numerical analysis is carried out to discuss some interesting results that our model exhibits.

Author Biographies

Palash Mandal, Hooghly Mohsin College, Chinsurah, Hooghly, West Bengal
Department of Mathematics, Assistant Professor
Nanda Das, Maulana Azad College, 8, Rafi Ahmed Kidwai Road, Kolkata 700013.
Department of Mathematics, Assistant Professor
Samares Pal, University of Kalyani, Kalyani-741235.

Department of Mathematics,  Professor,  Research Area: Mathematical Modelling in Ecology, Epidemiology

Published
2018-11-26