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The Study of Global Stability of a Periodic Beddington–DeAngelis and Tanner Predator-Prey Model

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Of concern is the global dynamics of a Beddington–DeAngelis and Tanner type predator-prey model with periodic coefficients. By establishing sufficient conditions, we prove that, despite the high degree of coupling… Click to show full abstract

Of concern is the global dynamics of a Beddington–DeAngelis and Tanner type predator-prey model with periodic coefficients. By establishing sufficient conditions, we prove that, despite the high degree of coupling in general, the existence and global asymptotic stability of a positive solution. As pointwise estimate, the stability conditions, in average form, are first provided.

Keywords: beddington deangelis; deangelis tanner; stability; prey model; predator prey

Journal Title: Results in Mathematics
Year Published: 2019

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