Modeling Dynamics of Prey-Predator Fishery Model with Harvesting: A Bioeconomic Model
Joint Authors
Raymond, Charles
Hugo, Alfred
Kung’aro, Monica
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A mathematical model is proposed and analysed to study the dynamics of two-prey one predator system of fishery model with Holling type II function response.
The effect of harvesting was incorporated to both populations and thoroughly analysed.
We study the ecological dynamics of the Nile perch, cichlid, and tilapia fishes as prey-predator system of lake Victoria fishery in Tanzania.
In both cases, by nondimensionalization of the system, the equilibrium points are computed and conditions for local and global stability of the system are obtained.
Condition for local stability was obtained by eigenvalue approach and Routh-Hurwitz Criterion.
Moreover, the global stability of the coexistence equilibrium point is proved by defining appropriate Lyapunov function.
Bioeconomic equilibrium is analysed and numerical simulations are also carried out to verify the analytical results.
The numerical results indicate that the three species would coexist if cichlid and tilapia fishes will not be overharvested as these populations contribute to the growth rates of Nile perch population.
The fishery control management should be exercised to avoid overharvesting of cichlid and tilapia fishes.
American Psychological Association (APA)
Raymond, Charles& Hugo, Alfred& Kung’aro, Monica. 2019. Modeling Dynamics of Prey-Predator Fishery Model with Harvesting: A Bioeconomic Model. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1168846
Modern Language Association (MLA)
Raymond, Charles…[et al.]. Modeling Dynamics of Prey-Predator Fishery Model with Harvesting: A Bioeconomic Model. Journal of Applied Mathematics No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1168846
American Medical Association (AMA)
Raymond, Charles& Hugo, Alfred& Kung’aro, Monica. Modeling Dynamics of Prey-Predator Fishery Model with Harvesting: A Bioeconomic Model. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1168846
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168846