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- Title
An integrated project of fish and broiler: SIS model with optimal harvesting.
- Authors
De, A.; Maity, K.; Maiti, M.
- Abstract
The paper analyzes the influence of a susceptible-infectious-susceptible (SIS) infectious disease affecting both fish and broiler species. The paper also considers a joint SIS project of fish and broiler in which the growth rates of both species vary with available nutrients and environmental carrying capacities of biomasses. The nutrients for both species are functions of the biomasses of the two species. The harvesting rates of fish and broiler depend linearly on common effort function. It is assumed that the diseases are transmitted to the susceptible populations by direct contact with the infected populations. Using the medicine, some portion of the infected populations are transmitted to the susceptible populations. The existence of steady states and their stability are investigated analytically. The joint profit of the SIS model is maximized using Pontryagin's maximum principle and corresponding optimum harvesting rates are also obtained. Using Mathematica software, the models are illustrated and the optimum results are obtained and presented in tabular and graphical forms.
- Subjects
FISH research; INFECTIONS in fish; BROILER chickens; BIOECONOMICS; EQUILIBRIUM; FEEDBACK control systems
- Publication
International Journal of Biomathematics, 2016, Vol 9, Issue 6, p-1
- ISSN
1793-5245
- Publication type
Article
- DOI
10.1142/S1793524516500881