Zobrazeno 1 - 10
of 2 095
pro vyhledávání: '"Bogdanov-Takens Bifurcation"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30263-30297 (2024)
The dynamics of an ordinary differential equations (ODEs) system modelling the interaction of four species (one prey or resource population, two mesopredator populations, and one super-predator population) was analyzed. It was assumed that the functi
Externí odkaz:
https://doaj.org/article/1ad2d02a142042348853b4e3f57e6dcf
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
Autor:
Mengxin He, Zhong Li
Publikováno v:
Axioms, Vol 13, Iss 10, p 704 (2024)
A Leslie–Gower predator–prey model with nonlinear harvesting and a generalist predator is considered in this paper. It is shown that the degenerate positive equilibrium of the system is a cusp of codimension up to 4, and the system admits the cus
Externí odkaz:
https://doaj.org/article/fda758dba51d45de984f0ac54e17ed51
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
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
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
Akademický článek
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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