Prey-predator Eco-epidemiological Model with Nonlinear Transmission of Disease
Qamar J. A. Khan and Fatma Ahmed Al-Kharousi
Full Length Research Paper I Published June, 2018
Journal of Medical and Biological Science Research Vol.
4 (2), pp. 57-71.
Nonlinear transmission of disease between infected and uninfected prey was studied using a prey-predator eco-epidemiological model. The interaction of predators with infected and uninfected prey species depends on their numerical superiority. Harvesting of both uninfected and infected prey was carried out, and stability analysis was carried out for equilibrium values. Using the parameter µ, the death rate of infected prey as a bifurcation parameter, it is shown that Hopf bifurcation could occur. The theoretical results are compared with numerical results for different sets of parameters.
Key words: Prey, predator, Hopf bifurcation, harvesting, stability
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