International Journal of Statistics and Applied Mathematics
2019, Vol. 4, Issue 2, Part A
Analysis of a fishery model with a depensation termAuthor(s):
Makwata Harun, Lawi George, Akinyi Colleta and Adu WasikeAbstract:
We formulate a mathematical fishery model with over-fishing induced Allee effect and stock dependent harvesting, since fish populations when reduced to low densities experience reduced rates of survival and reproduction. The model takes the form of a set of differential equations in which the population growth equation
has a depensation term. The other two equations describe the evolution of the fishing mortality E and the market price p. Aggregation is performed to reduce the model from a system of three equations to a system of two equations. Analysis of the model yields four points of equilibria. Local stability analysis is done for the equilibria points with zero harvesting.Pages: 44-49 | Views: 118 | Downloads: 8Download Full Article: Click Here
How to cite this article:
Makwata Harun, Lawi George, Akinyi Colleta and Adu Wasike. Analysis of a fishery model with a depensation term. International Journal of Statistics and Applied Mathematics. 2019; 4(2): 44-49.