Global Stability of Harvested Prey–Predator Model with Infection in Predator Species
In the present work, a model on predator–prey system in which only the predator population is infected by a disease is proposed and analyzed. It is considered that both the prey and predator species are harvested at different harvesting rates and differential predation rates for susceptible, and infected predators are also taken. Conditions for the existence and stability of all feasible equilibrium points are obtained. It is observed that nonzero equilibrium point is always globally stable whenever it is locally stable. It has been noticed that the reduced predation rate of infected predator and controlled harvesting of predator species is helpful in controlling the spread of disease.
KeywordsCarrying capacity Harvesting Predator Prey Predation rate
The first author Nishant Juneja, being a research scholar at I.K.G. Punjab Technical University, Kapurthala highly acknowledges this university for its valuable inputs on present research.
- 1.Anderson, R.M., May, R.M.: The invasion, persistence and spread of infectious diseases in animal and plant communities. Philos. Trans. R. Soc. Lond. B Biol. Sci. 314, 533–570 (1982)Google Scholar
- 8.Agnihotri, K., Juneja, N.: An eco-epidemic model with disease in both prey and predator. IJAEEE 4(3), 50–54 (2015)Google Scholar
- 9.Agnihotri, K., Juneja, N.: Predator-prey system with infection in predator only. Elixir Appl. Math. 83, 32909–32917 (2015)Google Scholar
- 16.Gulland, F.: The impact of infectious diseases on wild animal populations: a review. Ecol. Infect. Dis. Nat. Popul. 1, 20–51 (1995)Google Scholar