Abstract. In this paper, a delayed predator-prey system with harvesting and Holling type-III functional response is investigated. The local stability of a positive equilibrium and the existence of Hopf bifurcations are established. By using the normal form theory and center manifold reduction, the explicit algorithm determining the stability, direction of the bifurcating periodic solutions are ...

In this manuscript, we consider temporal and spatio-temporal modified Holling–Tanner predator-prey models with growth rate as a logistic type, Holling type II functional response alternative food sources for the predator. From our result of model, identify regions in parameter space which Turing instability model is expected show numerical evidence where leads to periodic solutions. Subsequentl...

The modelling of prey-predator interactions is of major importance for the understanding of population dynamics. Classically, these interactions are modelled using ordinary differential equations, but this approach has the drawbacks of assuming continuous population variables and of being deterministic. We propose a general approach to stochastic modelling based on the concept of functional res...