Analysis of a May-Holling-Tanner ratio-dependent predator-prey model with an alternative food source for the predator and a strong Allee effect for the prey
This paper presents a detailed analysis of a bitrophic chain to understand the complex ecological behaviour applied to this specific model. The model is described by means of a two-dimensional system of ordinary differential equations. The existence and uniqueness of the solutions of this system ar...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Western Libraries
2024-12-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/19417 |
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| Summary: | This paper presents a detailed analysis of a bitrophic chain to understand the complex ecological behaviour applied to this specific model. The model is described by means of a two-dimensional system of ordinary differential equations. The existence and uniqueness of the solutions of this system are examined, as well as their boundedness and positivity. In addition, through a differentiable equivalence, conditions for local and global stability at biologically relevant critical points are established. Periodic solutions are also explored. Finally, the Python programming language is used to perform a quantitative analysis of these critical points, showing different scenarios of the qualitative analysis previously obtained.
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| ISSN: | 2563-1926 |