Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ASYMPTOTICAL BEHAVIORS OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH RATIO-DEPENDENT FUNCTIONAL RESPONSE AND MATURATION DELAY

  • Wonlyul Ko (Department of Mathematics Education Cheongju University)
  • Received : 2023.01.09
  • Accepted : 2023.01.26
  • Published : 2023.02.28
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Abstract

In this paper, we consider a delayed ratio-dependent predator-prey reaction-diffusion system with homogenous Neumann boundary conditions. We study the existence of nonnegative solutions and the stability of the nonnegative equilibria to the system. In particular, we provide a sufficient condition for the positive equilibrium to be globally asymptotically stable.

Keywords

Acknowledgement

This work was supported by the research grant of Research Institute of Sciences & Arts at Cheongju University (2021.03.01. - 2023.02.28.).

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