Allee effect in a harvested a predator-prey model with disease in both population

  • Krishna Pada Das Mahadevananda Mahavidyalaya Department Of Mathematics Monirampore P.O.-Barrackpore Kol-120
  • S. Gnanavel
  • Rashmi Bhardwaj
  • Rakesh Kumar

Abstract

Disease control by managers is a crucial response to emerging epidemics and in the context of global change, emerging risks associated with parasites, invasive species and infectious diseases are an important issue especially for developing countries. Our objective is to provide a mathematical framework to study the response of a predator-prey model to a disease in both the populations and harvesting of prey species. We have worked out the conditions for local stability of the equilibrium points as well as persistence of the system. We have derived the ecological and the disease basic reproduction numbers. These enable us to determine the community structure of the system. Harvesting may play a crucial role in a host-parasite system and reasonable harvesting can remove parasite burden from their host. Our numerical results reveal that the reasonable harvesting prevents the oscillations of the species. We conclude that harvest can be an effective strategy for controlling the spread of disease.

Published
2022-11-19