Time delay induced Hopf bifurcation in a diffusive predator–prey model with prey toxicity

نویسندگان

چکیده

Abstract In this paper, we consider a diffusive predator–prey model with time delay and prey toxicity. The effect of on the stability positive equilibrium is studied by analyzing eigenvalue spectrum. Delay-induced Hopf bifurcation also investigated. By utilizing normal form method center manifold reduction for partial functional differential equations, formulas determining property are given.

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ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2021

ISSN: ['1687-1839', '1687-1847']

DOI: https://doi.org/10.1186/s13662-020-03161-3