Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia

Predator–prey interactions are considered to be key components in the structural framework of an ecosystem. Giving rise to rich dynamics, these engagements have always drawn attention of budding researchers. Biological processes like Allee effect have been investigated by several researchers in the field of eco-epidemiology. Regulation of chaotic dynamics under the influence of refugia cannot be neglected either. Hence, in our present investigation, we have demonstrated our model under the cumulative impact of both Allee effect and refugia. We shall also observe the role of nutritional value in regulating ailment propagation. The stability conditions for the biologically feasible equilibrium points are constructed using local stability analysis. Conditions for existence of Hopf bifurcation along with uniform persistence and global asymptotic stability have been established. Rigorous numerical investigation has been performed so as to scrutinize the impact of force of infection and nutritional value on the dynamics of the proposed eco-epidemic model.

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Publication Details

Journal
International Journal of Biomathematics
Published
2024-09-20
DOI
https://doi.org/10.1142/s1793524524501262
Citations
1
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.54
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article

Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia

Partha Sarathi Karmakar, Sanjukta Pramanik, Santanu Biswas, Krishna Pada Das et al.
1 citations
International Journal of Biomathematics
Mathematical and Theoretical Epidemiology and Ecology Models
0.54
article

Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia

Partha Sarathi Karmakar, Sanjukta Pramanik, Santanu Biswas, Krishna Pada Das, Seema Sarkar Mondal
article en
1 citations

Abstract

Predator–prey interactions are considered to be key components in the structural framework of an ecosystem. Giving rise to rich dynamics, these engagements have always drawn attention of budding researchers. Biological processes like Allee effect have been investigated by several researchers in the field of eco-epidemiology. Regulation of chaotic dynamics under the influence of refugia cannot be neglected either. Hence, in our present investigation, we have demonstrated our model under the cumulative impact of both Allee effect and refugia. We shall also observe the role of nutritional value in regulating ailment propagation. The stability conditions for the biologically feasible equilibrium points are constructed using local stability analysis. Conditions for existence of Hopf bifurcation along with uniform persistence and global asymptotic stability have been established. Rigorous numerical investigation has been performed so as to scrutinize the impact of force of infection and nutritional value on the dynamics of the proposed eco-epidemic model.

International Journal of Biomathematics
Central Pollution Control Board (IN), National Institute of Technology Durgapur (IN), Ramakrishna Mission Vidyamandira (IN), Hans Raj Mahila Maha Vidyalaya (IN), Ramakrishna Mission Vivekananda Educational and Research Institute (IN), CDA College (CY)
Zero hunger
Openalex Percentile: Top 29%
Mathematical and Theoretical Epidemiology and Ecology Models
0.54
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