Abstract
A diffusive predator–prey system with modified Holling–Tanner functional response and no-flux boundary condition is considered in this work. A sufficient condition which ensures persistence of the system is obtained. Furthermore, sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by using a comparison method. It is shown that our result supplements and complements one of the main results of Shi et al. [H.B. Shi, W.T. Li, G. Lin, Positive steady states of a diffusive predator–prey system with modified Holling–Tanner functional response, Nonlinear Analysis: Real World Applications 11 (2010) 3711–3721].
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.
