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• W1972617150 abstract "In this paper, we consider spatial predator–prey models with diffusion and prey-taxis. We investigate necessary conditions for pattern formation using a variety of non-linear functional responses, linear and non-linear predator death terms, linear and non-linear prey-taxis sensitivities, and logistic growth or growth with an Allee effect for the prey. We identify combinations of the above non-linearities that lead to spatial pattern formation and we give numerical examples. It turns out that prey-taxis stabilizes the system and for large prey-taxis sensitivity we do not observe pattern formation. We also study and find necessary conditions for global stability for a type I functional response, logistic growth for the prey, non-linear predator death terms, and non-linear prey-taxis sensitivity." @default.
• W1972617150 created "2016-06-24" @default.
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• W1972617150 date "2009-11-01" @default.
• W1972617150 modified "2023-10-14" @default.
• W1972617150 title "Pattern formation in prey-taxis systems" @default.
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• W1972617150 doi "https://doi.org/10.1080/17513750802716112" @default.
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