Stochastic time-optimal control and sensitivity studies for additional food provided prey-predator systems involving Holling type-IV functional response

In this study we consider an additional food provided prey-predator model exhibiting Holling type-IV functional response incorporating the combined effects of both continuous white noise and discontinuous Lévy noise. We prove existence uniqueness global positive solutions for proposed model. perform stochastic sensitivity analysis each parameters in a chosen range. Later do time optimal control studies with respect quality quantity as variables. Making use arrow condition sufficient maximum principle, characterize food. then these variables to parameters. Numerical results are given illustrate theoretical findings applications biological conservation pest management. At end briefly influence on dynamics