Fractional dynamics and computational analysis of food chain model with disease in intermediate predator Article Swipe
Jagdev Singh
,
Behzad Ghanbari
,
Ved Prakash Dubey
,
Devendra Kumar
,
Kottakkaran Sooppy Nisar
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3934/math.2024830
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3934/math.2024830
In this paper, a fractional food chain system consisting of a Holling type Ⅱ functional response was studied in view of a fractional derivative operator. The considered fractional derivative operator provided nonsingular as well as a nonlocal kernel which was significantly better than other derivative operators. Fractional order modeling of a model was also useful to model the behavior of real systems and in the investigation of dynamical systems. This model depicted the relationship among four types of species: prey, susceptible intermediate predators (IP), infected intermediate predators, and apex predators. One of the significant aspects of this model was the inclusion of Michaelis-Menten type or Holling type Ⅱ functional response to represent the predator-prey link. A functional response depicted the rate at which the normal predator consumed the prey. The qualitative property and assumptions of the model were discussed in detail. The present work discussed the dynamics and analytical behavior of the food chain model in the context of fractional modeling. This study also examined the existence and uniqueness related analysis of solutions to the food chain system. In addition, the Ulam-Hyers stability approach was also discussed for the model. Moreover, the present work examined the numerical approach for the solution and simulation for the model with the help of graphical presentations.
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- article
- Language
- en
- Landing Page
- https://doi.org/10.3934/math.2024830
- OA Status
- gold
- Cited By
- 4
- References
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- Related Works
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- OpenAlex ID
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https://doi.org/10.3934/math.2024830Digital Object Identifier
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Fractional dynamics and computational analysis of food chain model with disease in intermediate predatorWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-01-01Full publication date if available
- Authors
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Jagdev Singh, Behzad Ghanbari, Ved Prakash Dubey, Devendra Kumar, Kottakkaran Sooppy NisarList of authors in order
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https://doi.org/10.3934/math.2024830Publisher landing page
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goldOpen access status per OpenAlex
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Food chain, Dynamics (music), Predator, Statistical physics, Applied mathematics, Computer science, Biological system, Mathematics, Biology, Ecology, Predation, Psychology, Physics, PedagogyTop concepts (fields/topics) attached by OpenAlex
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4Total citation count in OpenAlex
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2025: 2, 2024: 2Per-year citation counts (last 5 years)
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