burhan dabag - Academia.edu (original) (raw)
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College of Science University of Baghdad
Indian Institute of Engineering Science and Technology, Shibpur
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Papers by burhan dabag
In this article, the dynamical behavior of a three dimensional continuous time eco-epidemiologica... more In this article, the dynamical behavior of a three dimensional continuous time eco-epidemiological model is studied. A prey-predator model involving infectious disease in predator population is proposed and analyzed. This model deals with SI infectious disease that transmitted horizontally in predator population. It is assumed that the disease transmitted to susceptible population in two different ways: contact with infected individuals and an external sources. The existence, uniqueness and bounded-ness of the solution of this model are investigated. The local and global stability conditions of all possible equilibrium points are established. The local bifurcation analysis and a Hopf bifurcation around the positive equilibrium point are obtained. Finally, numerical simulations are given to illustrate our obtained analytical results.
Thesis Chapters by burhan dabag
A dynamic model based on Leslie-Gower type prey predator model is analyzed. The effects of season... more A dynamic model based on Leslie-Gower type prey predator model is analyzed. The effects of seasonality on the dynamical behavior of two-dimensional continuous time dynamical system are investigated. The seasonal variations are considered in different parameters. Their variation may be synchronous or asynchronous. The bifurcation diagrams are obtained for different parameters of the model after intensive numerical simulations. The seasonal variations in carrying capacity of the prey due to seasonally varying environment may give rise to complex dynamics of the system. Further, the model with asynchronous seasonal variations in growth rate of two species could exhibit chaotic dynamics for realistic and biologically feasible parametric values.
In this article, the dynamical behavior of a three dimensional continuous time eco-epidemiologica... more In this article, the dynamical behavior of a three dimensional continuous time eco-epidemiological model is studied. A prey-predator model involving infectious disease in predator population is proposed and analyzed. This model deals with SI infectious disease that transmitted horizontally in predator population. It is assumed that the disease transmitted to susceptible population in two different ways: contact with infected individuals and an external sources. The existence, uniqueness and bounded-ness of the solution of this model are investigated. The local and global stability conditions of all possible equilibrium points are established. The local bifurcation analysis and a Hopf bifurcation around the positive equilibrium point are obtained. Finally, numerical simulations are given to illustrate our obtained analytical results.
A dynamic model based on Leslie-Gower type prey predator model is analyzed. The effects of season... more A dynamic model based on Leslie-Gower type prey predator model is analyzed. The effects of seasonality on the dynamical behavior of two-dimensional continuous time dynamical system are investigated. The seasonal variations are considered in different parameters. Their variation may be synchronous or asynchronous. The bifurcation diagrams are obtained for different parameters of the model after intensive numerical simulations. The seasonal variations in carrying capacity of the prey due to seasonally varying environment may give rise to complex dynamics of the system. Further, the model with asynchronous seasonal variations in growth rate of two species could exhibit chaotic dynamics for realistic and biologically feasible parametric values.