Title of article :
The Dynamics of an Eco-Epidemiological Model with (SI), (SIS) Epidemic Disease in Prey
Author/Authors :
majeed, azhar abbas university of baghdad - college of science - department of mathematics, Iraq , shawka, inaam ibrahim university of baghdad - college of science - department of mathematic, Iraq
Abstract :
In this paper, a mathematical model consisting of the prey-predator model with (SI and SIS) infectious diseases in prey which is transmitted within the same species by contact and external source is proposed and analyzed. The existence, uniqueness and boundedness of the solution are discussed. The stability analysis of all possible equilibrium points is studied. Suitable Lyapunov functions are used to study the global dynamics of the proposed model. The effect of the two diseases on the dynamical behavior of the system is discussed using numerical simulation.
Keywords :
Prey , Predator Model , Epidemic Model , Stability Analysis , Lyapunov Function
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
