In this paper the dynamics of a discrete-time prey-predator system is investigated in the closed first quadrant . The existence and stability of fixed points are analyzed algebraically .The conditions of existence for flip bifurcation is derived by busing center manifold theorem and bifurcation theory. Numerical simulations not only illustrate our results but also exhibit complex dynamical beha...

and Applied Analysis 3 following predator-prey system with adding periodic constant impulsive immigration of the predator regarded as natural enemy of the prey pest to system 1.3 and spraying pesticides harvesting on all species at the same times x′ t rx t ( 1 − x t K ) − ax t y t by t x t c λx t sin ωt , y′ t −dy t eax t y t by t x t c , t / nτ, x t ( 1 − p1 ) x t , t nτ, y t ( 1 − p2 ) y t q,...

The predator-prey model has been extensively developed in recent research. This research is an applied literature study with a proposed dynamics using the Crowley–Martin response function, namely development of Beddington-DeAngelis function. aim this to construct mathematical model, equilibrium analysis and population trajectories analysis. results showed that produced seven non-negative points...

Mutual interference involves direct interactions between individuals of the same species that may alter their foraging success. Larvae of aphidophagous coccinellids typically stay within a patch during their lifetime, displaying remarkable aggregation to their prey. Thus, as larvae are exposed to each other, frequent encounters may affect their foraging success. A study was initiated in order t...

From a practical point of view, the most efficient strategy for pest control is to combine an array of techniques to control the wide variety of potential pests that may threaten crops in an approach known as integrated pest management (IPM). In this paper, we propose a predator-prey (pest) model of IPM in which pests are impulsively controlled by means of spraying pesticides (the chemical cont...