Stability analysis and optimization problem fractional of a predator–prey system with Holling II functional response

Abstract

The Kolmogorov model has been applied to numerous organic and natural issues. We are especially inspired by one of its variations, that is, a Gauss-type hunter prey model that incorporates the allee impact and Holling type-II utilitarian reaction. Rather than utilizing exemplary first request differential conditions to figure the model, fragmentary request differential conditions are used. The presence and uniqueness of a nonnegative arrangement just as the conditions for the presence of balance focuses are given. We then, at that point, examine the neighborhood strength of the three sorts of harmony focuses by utilizing the linearization strategy. This paper manages an ideal control issue of a hunter prey framework with a Holling II useful reaction. The model viable joins an asylum ensuring [Formula: see text] of the prey and leaves ux of the prey accessible to the hunter, where [Formula: see text]. By using Pontryagin’s Most extreme Standard for partial, we concentrate on the ideal control issue viewing u as a control work.