Call For Paper Volume:4 Issue:8 Aug'2017 |

An Eco-Epidemiological Model with Nonlinear Incidence and Infective Prey Treatment Class

Publication Date : 30/11/2015



Author(s) :

Peter Tengaa , Daniel O. Makinde , Estomih S. Massawe.


Volume/Issue :
Volume 2
,
Issue 11
(11 - 2015)



Abstract :

In this work, an eco-epidemiological model with nonlinear incidence and infective prey treatment class has been proposed and analysed. The model is found to be well posed and solutions exist in a feasible region where equilibrium points are obtained and their stabilities are investigated. It integrates the effect of treatment of infective prey population. The equilibrium points are found to be locally stable and globally asymptotically stable under certain conditions. The model analysis shows that treatment of infective prey has a potential positive impact to the population which saves population from extinction. Finally, numerical simulations are performed. It is observed that the increase of treatment rate tends to increase both susceptible prey as well as predator population.


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An Eco-Epidemiological Model with Nonlinear Incidence and Infective Prey Treatment Class

November 26, 2015