MATHEMATICAL MODELING OF FOOD WEB SYSTEM WITH PREY  HARVESTING

dc.contributor.author	EFREM TSEGAYE WOLANA
dc.date.accessioned	2016-01-26T07:39:53Z
dc.date.available	2016-01-26T07:39:53Z
dc.date.issued	2015-09
dc.identifier.uri	http://hdl.handle.net/123456789/75
dc.description.abstract	We proposed and studied a mathematical model which describes the dynamics of two preys and one predator web system with prey harvesting in which one predator shows a Holling type II functional response to one prey that is also harvested and a ratio- dependent response to the other prey. Analysis of the model showed that the three species would co-exist if the first prey were not harvested beyond their intrinsic growth rate. Numerical simulation of the model are carried out and showing the behavior of the system changes mostly from a limit cycle to a stable spiral and vice-versa when values of some parameters such as harvesting rate of prey1, mortality rate of predator, anti-predator behavior of prey2 are varied; this implied that these parameters can be controlled.	en_US
dc.language.iso	en	en_US
dc.publisher	ARBA MINCH UNIVERSITY	en_US
dc.subject	Holling Type II functional response, Ratio dependent functional response, Stability, Extinction, Small perturbation	en_US
dc.title	MATHEMATICAL MODELING OF FOOD WEB SYSTEM WITH PREY HARVESTING	en_US
dc.type	Thesis	en_US