IMPACT OF HUNTING COOPERATION AND FEEDBACK CONTROL FOR A NONLINEAR HYBRID LESLIE–GOWER PREDATOR-PREY SYSTEM ON NONUNIFORM TIME DOMAIN

Abstract

: In the present work, we have proposed a hybrid Leslie-Gower predator-prey system with feedback control and hunting cooperation among predator on non uniform time domain, where our proposed model commutes between a continuous-time dynamical system and discrete-time dynamical system. Using the comparison theorems and some dynamic inequality on the time scale, we have studied the permanence results for the proposed system. Also, with the help of a suitable Lyapunov function, we have established some sufficient conditions that will ensure the global attractivity of the proposed model. Furthermore, simulation studies are provided to verify the theoretical results, as well as to further investigate the effects of feedback control strategy and hunting cooperation on the prey-predator system. These findings suggest that hunting cooperation and feedback control strategy have a substantial influence to control the population of predator-prey dynamical system. same parameters values and initial conditions.