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Full-Text Articles in Life Sciences
The Principle Of Linearized Stability For Size-Structured Population Models, M. El-Doma
The Principle Of Linearized Stability For Size-Structured Population Models, M. El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
The principle of linearized stability for size-structured population dynamics models is proved giving validity to previous stability results reported in, for example, El-Doma (2008-1). In particular, we show that if all the roots of the characteristic equation lie to the left of the imaginary axis then the steady state is locally exponentially stable, and on the other hand, if there is at least one root that lies to the right of the imaginary axis then the steady state is unstable. We also point out cases when there is resonance
The Dynamics Of Stage Structured Prey-Predator Model Involving Parasitic Infectious Disease, Raid K. Naji, Dina S. Al-Jaf
The Dynamics Of Stage Structured Prey-Predator Model Involving Parasitic Infectious Disease, Raid K. Naji, Dina S. Al-Jaf
Applications and Applied Mathematics: An International Journal (AAM)
In this paper a prey-predator model involving parasitic infectious disease is proposed and analyzed. It is assumed that the life cycle of predator species is divided into two stages immature and mature. The analysis of local and global stability of all possible subsystems is carried out. The dynamical behaviors of the model system around biologically feasible equilibria are studied. The global dynamics of the model are investigated with the help of Suitable Lyapunov functions. Conditions for which the model persists are established. Finally, to nationalize our analytical results, numerical simulations are worked out for a hypothetical set of parameter values.