Dynamical behavior of Predator-Prey with Allee Effect on Both Populations and Disease in Predator
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910458760396800 |
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| author | Singh, Khushbu Kaladhar, K. |
| author_facet | Singh, Khushbu Kaladhar, K. |
| contents | In the current study, we took into account a model of nonlinear ``predator-prey'' interactions including the ``Allee effect'' on both populations and disease in the predator population. The population as a whole is split into three: the prey population, susceptible predator, and diseased predator. The ``Takagi-Sugeno (T-S) impulsive control model'' and the Fuzzy impulsive control model have been used to test the stability of the three-dimensional ``Lotka-Volterra predator-prey system'' model. Following the model's formulation, the global-stability and the fuzzy solution are examined using numerical simulations and graphical displays, together with the necessary consultation, to help comprehend the effectiveness of our suggested model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15448 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical behavior of Predator-Prey with Allee Effect on Both Populations and Disease in Predator Singh, Khushbu Kaladhar, K. Populations and Evolution Dynamical Systems 92D25, 92D40, 92D50, 34D23, 92D30 In the current study, we took into account a model of nonlinear ``predator-prey'' interactions including the ``Allee effect'' on both populations and disease in the predator population. The population as a whole is split into three: the prey population, susceptible predator, and diseased predator. The ``Takagi-Sugeno (T-S) impulsive control model'' and the Fuzzy impulsive control model have been used to test the stability of the three-dimensional ``Lotka-Volterra predator-prey system'' model. Following the model's formulation, the global-stability and the fuzzy solution are examined using numerical simulations and graphical displays, together with the necessary consultation, to help comprehend the effectiveness of our suggested model. |
| title | Dynamical behavior of Predator-Prey with Allee Effect on Both Populations and Disease in Predator |
| topic | Populations and Evolution Dynamical Systems 92D25, 92D40, 92D50, 34D23, 92D30 |
| url | https://arxiv.org/abs/2405.15448 |