Global stability and predator dynamics in a model of prey dispersal in a patchy environment
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Cited by (102)
Stability analysis of a fractional-order diffused prey–predator model with prey refuges
2019, Physica A: Statistical Mechanics and its ApplicationsCitation Excerpt :In practical world, the dispersal of species in two or more patches has become one of the most common phenomena in the natural world due to enemy, competition or deterioration of the environment [13]. Thus, the dispersal processes should be considered in the realistic models [14–17]. In Ref. [18], the global stability of two different models with patch structure was studied and some sufficient criteria for stable positive periodic solution and the extinction of the populations were given.
Extinction and persistence of a stochastic Gilpin–Ayala model under regime switching on patches
2019, Applied Mathematics LettersThe joint impacts of dispersal delay and dispersal patterns on the stability of predator-prey metacommunities
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2023, International Journal of Biomathematics
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Research partially supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERCA 4823.
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On leave form Shizuoka University, Hamamatsu, Japan. Research partially supported by Ministry of Education of Japan Government grant.
Copyright © 1989 Published by Elsevier Ltd.