This paper aims to study the effect of Harvesting on predator species with time-delay on a Holling type-IV prey-predator model. Harvesting has a strong impact on the dynamic evolution of a population. Two delays are considered in the model of this paper to describe the time that juveniles of prey and predator take to mature. Dynamics of the system is studied in terms of local and Hopf bifurcati...

In this paper, the aquatic food chain model, consisting of Phytoplankton, Zooplankton, and Fish, in contaminated environment is proposed studied. Modified Leslie–Gower model with Holling type IV functional response are used to describe growth Fish transition throughout chain, respectively. The toxic substance affects directly Phytoplankton indirectly other species. local stability analysis all ...

1. Current formulations of functional responses assume that the prey is homogeneous and independent of intraspecific processes. Most prey populations consist of different coexisting size classes that often engage in asymmetrical intraspecific interactions, including cannibalism, which can lead to nonlinear interaction effects. This may be important as the size structure with the prey could alte...

The current research aims to implement the numerical results for Holling third kind of functional response delay differential model utilizing a stochastic framework based on Levenberg-Marquardt backpropagation neural networks (LVMBPNNs). nonlinear depends upon three dynamics, prey, predator, and impact recent past. Three different cases system with 3rd type have been used solve through proposed...

The predator-prey model has been extensively studied, but only studies models in a certain environment, where all parameters and initial values involved the are assumed to be certain. In real practice, some often uncertain. To overcome this uncertainty problem, can made by using fuzzy theoretical approach. paper, we develop numerical scheme for solving two with Holling type II functional respon...