Interactive Effects of Disease Transmission on Predator-Prey Model
- 1 September 2020
- journal article
- research article
- Published by L and H Scientific Publishing, LLC in Journal of Applied Nonlinear Dynamics
- Vol. 9 (3), 401-413
- https://doi.org/10.5890/jand.2020.09.005
Abstract
This paper deals with predator-prey eco-epidemiological model where an infectious disease among fish population is non-linearly transmitted in a reserve area. Then the disease is transmitted indirectly to the predator population during their feeding process. At the time of harvesting, both the susceptible and the infected prey population are harvested. When the nonlinear disease transmission and the inhibition effect on the dynamical behavior of the prey are measured, the number of infected individuals increases. The model in this study is analyzed in term of boundedness, and local and global stability under certain conditions and Hopf bifurcation. For the determine of optimal conditions, we have compared the theoretical results with numerical results for different sets of parameters. (C)2020 L&H Scienti fic Publishing, LLC. All rights reserved.Keywords
This publication has 7 references indexed in Scilit:
- Nonlinear Dynamical Systems in Modeling and Control of Infectious DiseasePublished by Springer Science and Business Media LLC ,2016
- Stability analysis of a food chain model consisting of two competitive preys and one predatorNonlinear Dynamics, 2015
- Modelling the depletion of forestry resources by population and population pressure augmented industrializationApplied Mathematical Modelling, 2009
- Effect of disease-selective predation on prey infected by contact and external sourcesBiosystems, 2009
- Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemesApplied Mathematics Letters, 2003
- Classical predator–prey system with infection of prey population—a mathematical modelMathematical Methods in the Applied Sciences, 2003
- Keeping the herds healthy and alert: implications of predator control for infectious diseaseEcology Letters, 2003