Autor: |
Luyao Lv, Xianyi Li |
Jazyk: |
angličtina |
Rok vydání: |
2024 |
Předmět: |
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Zdroj: |
Mathematics, Vol 12, Iss 12, p 1803 (2024) |
Druh dokumentu: |
article |
ISSN: |
2227-7390 |
DOI: |
10.3390/math12121803 |
Popis: |
In this paper, we use a semi-discretization method to consider the predator–prey model of Leslie type with ratio-dependent simplified Holling type IV functional response. First, we discuss the existence and stability of the positive fixed point in total parameter space. Subsequently, through using the central manifold theorem and bifurcation theory, we obtain sufficient conditions for the flip bifurcation and Neimark–Sacker bifurcation of this system to occur. Finally, the numerical simulations illustrate the existence of Neimark–Sacker bifurcation and obtain some new dynamical phenomena of the system—the existence of a limit cycle. Corresponding biological meanings are also formulated. |
Databáze: |
Directory of Open Access Journals |
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