Coexistence states in a cross-diffusion system of a predator–prey model with predator satiation term
2018 ◽
Vol 28
(11)
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pp. 2131-2159
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Keyword(s):
A Priori
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In this paper, we study the existence and non-existence of coexistence states for a cross-diffusion system arising from a prey–predator model with a predator satiation term. We use mainly bifurcation methods and a priori bounds to obtain our results. This leads us to study the coexistence region and compare our results with the classical linear diffusion predator–prey model. Our results suggest that when there is no abundance of prey, the predator needs to be a good hunter to survive.
2012 ◽
Vol 35
(7)
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pp. 758-768
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Keyword(s):
2018 ◽
Vol 41
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pp. 179-203
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2009 ◽
Vol 71
(12)
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pp. e1109-e1115
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Keyword(s):
2019 ◽
Vol 29
(03)
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pp. 1950036
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Keyword(s):
Keyword(s):
Keyword(s):
2013 ◽
Vol 2013
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pp. 1-9
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