We establish the existence of traveling front solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator-prey model with Holling type-II functional response. The traveling front solutions are equivalent to heteroclinic orbits in R(4) and the small amplitude traveling wave train solutions are equivalent to small amplitude periodic orbits in R...

This paper deals with the study of a generalized prey-predator system with a reserve area. It is assumed that the habitat is divided into two regions, namely free zone and the other is reserved zone where predation is not allowed. The migration rate of prey population from free zone to reserved zone is predator density dependent. Predator functional response is considered as Holling type II. Bo...

and Applied Analysis 3 To the best of the authors’ knowledge, for the nonautonomous case of predatorprey systems with two predators which consume immature prey and stage structure for prey, whether one could obtain the sufficient and necessary conditions which insure the permanence of the system or not is still an open problem. The aim of this paper is, by further developing the analysis techni...

A delayed diffusive predator-prey system with Holling type-II predator functional response subject to Neumann boundary conditions is considered here. The stability/instability of nonnegative equilibria and associated Hopf bifurcation are investigated by analyzing the characteristic equations. By the theory of normal form and center manifold, an explicit formula for determining the stability and...

In this paper, we study the dynamics of a fractional-order epidemic model with general nonlinear incidence rate functionals and time-delay. We investigate local global stability steady-states. deduce basic reproductive threshold parameter, so that if R0<1, disease-free steady-state is locally globally asymptotically stable. However, for R0>1, there exists positive (endemic) which A Hollin...

The functional response of the phytoseiid predator Chileseius camposi González y Schuster, 1962 (Acarina:Phytoseiidae) on densities of its prey Panonychus ulmi (Koch, 1836) was evaluated under controlled temperature (20 +/- 2 degrees C), relative humidity (75 +/- 15%) and photoperiod (16:8h L:D). A functional type II response was displayed (Holling's disk). Holling, Wolf transformation and Roge...

In this paper, we study discrete-time model of phytoplanktonzooplankton with Holling type II predator functional response. It is shown that Neimark-Sacker bifurcation occurs at the one positive fixed points for certain parameter chosen as a parameter. The existence and local stability are proved. By considering theoretical results in concrete example, it was obtained interesting dynamics system...

Predation is interaction between predator and prey, where preys prey. So predators can grow, develop, reproduce. In order for prey to avoid predators, then needs a refuge. this thesis, predator-prey model with refuge factor using Holling type III response function which has three populations, i.e. population in the refuge, outside population. From model, equilibrium points were obtained, those ...

the cotton aphid, aphis gossypii glover is a major pest of greenhouse cucumber in the world. in this study, age specific functional response of aphidius matricariae haliday and praon volucre (haliday) were investigated on a. gossypii at 25±1°c, 60±5% rh and a photoperiod of 14 l: 10 d h. the results showed that the functional response of a. matricariae was type iii during 1st, 2nd, 3rd, 4th and...