Dynamics of a discrete predator-prey model with Holling-II functional response
Keyword(s):
In this paper, we use a semidiscretization method to derive a discrete predator–prey model with Holling type II, whose continuous version is stated in [F. Wu and Y. J. Jiao, Stability and Hopf bifurcation of a predator-prey model, Bound. Value Probl. 129(2019) 1–11]. First, the existence and local stability of fixed points of the system are investigated by employing a key lemma. Then we obtain the sufficient conditions for the occurrence of the transcritical bifurcation and Neimark–Sacker bifurcation and the stability of the closed orbits bifurcated by using the Center Manifold theorem and bifurcation theory. Finally, we present numerical simulations to verify corresponding theoretical results and reveal some new dynamics.
2014 ◽
Vol 24
(07)
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pp. 1450093
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2019 ◽
Vol 20
(2)
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pp. 125-136
2018 ◽
Vol 11
(07)
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pp. 1850089
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Keyword(s):
2019 ◽
Vol 29
(10)
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pp. 1950136
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2010 ◽
Vol 143-144
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pp. 1358-1363
2020 ◽
Vol 13
(03)
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pp. 2050018