In this paper, we propose a nutrient-phytoplankton model with toxic effects governed by the Holling-type II functional. We conduct qualitative analysis on system and its steady state problem. particular, Turing instability of unique constant state, existence nonexistence nonconstant states are analyzed. Our results show some more delicate influences effect functional formation pattern, compared...

the pea aphid, acyrthosiphon pisum (harris) is one of the most important pests of pea throughout the world.host stage preference under choice and no-choice tests and age-specific functional response of praon volucre (haliday) parasitizing a. pisum were investigated. the experiments were carried out under laboratory conditions at 25 ± 1 °c, 60 ± 5% rh and a photoperiod of 14: 10 h (l: d). functi...

We are interested in the coexistence of three species forming a tritrophic food chain model. Considering a linear grow for the lowest trophic species or prey, and a type III Holling functional response for the middle and highest trophic species (first and second predator respectively). We prove that this model exhibits two small amplitud periodic solutions bifurcating simultaneously each one fr...

This paper is devoted to the study of spatiotemporal dynamics of a diffusive Leslie–Gower predator–prey system with ratio-dependent Holling type III functional response under homogeneous Neumann boundary conditions. It is shown that the model exhibits spatial patterns via Turing (diffusion-driven) instability and temporal patterns via Hopf bifurcation. Moreover, the existence of spatiotemporal ...

Abstract This article consists of a detailed and novel stochastic optimal control analysis coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for predator intra-specific competition among predators. We first discuss the problem Lagrangian linear quadratic control. Second, we consider...

In this paper, we analyse a recently proposed predator-prey model with ratio dependence and Holling type III functional response, particular emphasis on the dynamics close to extinction. By using Briot-Bouquet transformation transform into system, where extinction steady state is represented by up three distinct states, whose existence determined values of appropriate Lambert W functions. We in...