Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey
نویسندگان
چکیده
Article history: Received 3 November 2010 Revised 4 March 2011 Available online 24 March 2011 MSC: 35K57 35B36 35B32 92D40
منابع مشابه
Hopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response
In this paper, we have studied the diffusive predator-prey model with Monod-Haldane functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated by analyzing the distribution of eigenvalues without diffusion. We also study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system which are spati...
متن کاملA predator-prey model with ratio-dependent functional response and Strong Allee effect on prey
A ratio-dependent predator-prey model with strong Allee effect on prey is analyzed by making a parametric analysis of stability properties of dynamics on the system in which the functional response is a function of the ratio of prey to predator. It is shown that incorporating of Allee effect on prey equation significantly modifies the dynamics of the original system, as the modified model invol...
متن کاملLIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING
In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...
متن کاملSimulation of Pattern in a Delay and Cross-Diffusive Predation Model with the Allee Effect
In this paper, we consider the effect of time delay and cross diffusion on the dynamics of a predator-prey model with the Allee effect. We mainly investigate the stability of the homogeneous state points and give the conditions of time delay and cross diffusion driven instability in details. Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dyn...
متن کاملPrey-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.
متن کامل