Dynamical analysis of a parasite-host model within fluctuating environment (Q1792918)

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scientific article; zbMATH DE number 6952992
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Dynamical analysis of a parasite-host model within fluctuating environment
scientific article; zbMATH DE number 6952992

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    Dynamical analysis of a parasite-host model within fluctuating environment (English)
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    12 October 2018
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    Summary: A parasite-host model within fluctuating environment is proposed. Firstly, the positivity and boundedness of solutions of the model within deterministic environment are discussed, and, then, the asymptotical stability and global stability of equilibria of deterministic model are investigated. Secondly, we show that the stochastic model has a unique global positive solution; furthermore, we show that the stochastic model has a stationary distribution under certain conditions. Finally, we give some numerical simulations to illustrate our analytical results.
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