An Efficient Approach for Solving Fractional Dynamics of a Predator-Prey System

Stability analysis of a fractional order prey-predator system with nonmonotonic functional response

In this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. We analyze the existence and stability of all possible equilibria. Numerical simulations reveal that anti-predator behaviour not only makes the coexistence of the prey and predator ...

An efficient approach for solving layout problems

This paper offers an approach that could be useful for diverse types of layout problems or even area allocation problems. By this approach there is no need to large number of discrete variables and only by few continues variables large-scale layout problems could be solved in polynomial time. This is resulted from dividing area into discrete and continuous dimensions. Also defining decision var...

Dynamics in a Discrete Prey-Predator System

The stability analysis around equilibrium of a discrete-time predator prey system is considered in this paper. We obtain local stability conditions of the system near equilibrium points. The phase portraits are obtained for different sets of parameter values. Also limit cycles and bifurcation diagrams are provided for selective range of growth parameter. It is observed that prey and predator po...

Prey-Predator System; Having Stable Periodic Orbit

The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.

Numerical Solutions of a Fractional Predator-Prey System