Zobrazeno 1 - 10
of 2 067
pro vyhledávání: '"Bogdanov–Takens bifurcation"'
Autor:
Yongxin Zhang, Jianfeng Luo
Publikováno v:
Frontiers in Physics, Vol 12 (2024)
In this paper, we investigate a Leslie-type predator–prey model that incorporates prey harvesting and group defense, leading to a modified functional response. Our analysis focuses on the existence and stability of the system’s equilibria, which
Externí odkaz:
https://doaj.org/article/6545afcd61b549f995fbd1c3f8b20181
Publikováno v:
Electronic Research Archive, Vol 32, Iss 1, Pp 293-316 (2024)
In this paper, the stability and bifurcation of a two–dimensional p53 gene regulatory network without and with time delay are taken into account by rigorous theoretical analyses and numerical simulations. In the absence of time delay, the existence
Externí odkaz:
https://doaj.org/article/53c972da28e848aabe558a5347336bc2
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 1, Pp 792-831 (2024)
In this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle
Externí odkaz:
https://doaj.org/article/a290e364290e47d081e238a28aaa9927
Dynamic analysis of a Leslie-Gower predator-prey model with the fear effect and nonlinear harvesting
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 10, Pp 18592-18629 (2023)
In this paper, we investigate the stability and bifurcation of a Leslie-Gower predator-prey model with a fear effect and nonlinear harvesting. We discuss the existence and stability of equilibria, and show that the unique equilibrium is a cusp of cod
Externí odkaz:
https://doaj.org/article/d9b3ec69eafb4c69a2ed7fbb8942cdc2
Akademický článek
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Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 8, Pp 15524-15543 (2023)
In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect. The existence and stability of the non-negative equilibria are discussed first. Several kinds of bifurcation phenomena, which the model may un
Externí odkaz:
https://doaj.org/article/28e5fe11417c4d1db9eee20117c96ff9
Publikováno v:
Journal of Biological Dynamics, Vol 17, Iss 1 (2023)
ABSTRACTIn this work, we first modify a Lotka–Volterra predator–prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is
Externí odkaz:
https://doaj.org/article/4820a6fcc25b401ba326b767e83756cb
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 5, Pp 8632-8665 (2023)
In this paper, we analyze the bifurcation of a Holling-Tanner predator-prey model with strong Allee effect. We confirm that the degenerate equilibrium of system can be a cusp of codimension 2 or 3. As the values of parameters vary, we show that some
Externí odkaz:
https://doaj.org/article/d9bb63525b5341afb066d2d795684088
Akademický článek
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Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 2, Pp 2874-2889 (2023)
In this article, we will investigate a retarded van der Pol-Duffing oscillator with multiple delays. At first, we will find conditions for which Bogdanov-Takens (B-T) bifurcation occurs around the trivial equilibrium of the proposed system. The cente
Externí odkaz:
https://doaj.org/article/4110dafc0288405db68ffb772e4a672e