Abstract
The complexity of nature that can not be modeled by means of ordinary or partial differential equations. This paper aims to study the dynamics behavior of fractional-order prey-predator system and its discretization with harvesting on prey species. The logistic growth of prey species and Holling type III functional response are considered. The existence and the local stability of all equilibria of fractional-order system, as well as its discretization, are determined and investigated. Then the discrete model is extended to an optimal control problem to get an optimal harvesting policy. We use the discrete version of Pontryagin maximum principle to derive the characterization of the optimal harvesting control and the optimal corresponding state solution. Numerical simulations are given to illustrate the theoretical findings.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
