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In this paper, a mathematical model is proposed and analysed to study the dynamics of one-prey two-predators system with ratio-dependent predators growth rate. Criteria for local stability, instability and global stability of the nonnegative equilibria are obtained. The permanent co-existence of the three species is also discussed. Finally, computer simulations are performed to investigate the dynamics of the system.

In this paper a mathematical model is proposed and analysed to study the effect of an environmental pollutant on two interacting biological species. The interaction between the two species is considered to be of three types, namely, competition, cooperation, and prey᎐predator. In each case criteria for local stability, instability, and global stability of the nonnegative equilibria of the system are obtained. The effect of diffusion on the equilibrium state of the system is also studied. ᮊ 2000 Academic Press

In this study, an SEIR epidemic model is proposed for treatment of infectives considering the development of acquired immunity in recovered individuals. We employed two different types of treatment functions. Stability analysis for disease-free as well as endemic equilibria is performed. It is observed that the existence of unique endemic equilibrium depends on the basic reproductive number R0 as well as on treatment rate. Numerical simulations are performed on the proposed models to support and analyze theoretical findings.

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