Global Stability of Harvested Prey–Predator Model with Infection in Predator Species

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 701)

Abstract

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.

Keywords

Carrying capacity Harvesting Predator Prey Predation rate 

Notes

Acknowledgements

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.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.I. K. Gujral Punjab Technical UniversityKapurthalaIndia
  2. 2.Shaheed Bhagat Singh State Technical CampusFerozepurIndia

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