Abstract
A predator–prey system in discrete-time for which the predators engage in cooperative hunting and the prey population is subject to scramble intra-specific competition is developed and analyzed. We prove that the number of positive equilibrium points depends not only on the predator’s basic reproduction number but also on the intensity of predator cooperation. The model exhibits a discrete Hopf bifurcation when the unique positive equilibrium point loses its stability. Two-parameter bifurcation diagrams using MATLAB conclude that hunting cooperation can increase the likelihood of predator persistence but may destabilize the predator–prey interaction and drive the predator to extinction.
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.
