Print ISSN: 1681-6900

Online ISSN: 2412-0758

Keywords : local stability


A Study of a Prey-Predator System with Disease in Prey

Raid Kamel Naji; Basim N. Abood; Ala; a Abbas M.Rasheed

Engineering and Technology Journal, 2015, Volume 33, Issue 3, Pages 461-477

In this paper, the dynamical behavior of some eco-epidemiological models is investigated. Two types of prey-predator models involving infectious disease in prey population, which divided it into two compartments; namely susceptible population S and infected population I, are proposed and analyzed. The proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals. The model are represented mathematically by the set of nonlinear differential equations .The existence, uniqueness and boundedness of this model are investigated. The local and global stability conditions of all possible equilibrium points are established. Finally, the numerical simulations are used to study the global dynamics of the model.

The Dynamics of An Eco-Epidemiological System Involving a Prey Refuge

Raid K. Naji; Ali Yousef Abdullah; Haneen R. Jameel

Engineering and Technology Journal, 2015, Volume 33, Issue 2, Pages 235-251

In this research a predator–prey model involving disease in a prey and prey refuge has been proposed and analyzed. It is assumed that only the prey species is divided into two classes infected and susceptible and disease transmitted by contact between a prey species. The existence, boundedness , permanence of the model has been investigated. The local and global stability conditions of all possible equilibrium points are established. Finally, numerical simulation is carried out to study the global dynamics of the model.