THE DYNAMICS OF TWO-SPECIES ALLELOPATHIC COMPETITION WITH OPTIMAL HARVESTING

HASSAB, MESERET

dc.contributor.author	HASSAB, MESERET
dc.date.accessioned	2017-08-04T02:50:25Z
dc.date.available	2017-08-04T02:50:25Z
dc.date.issued	2017-08-04
dc.identifier.uri	http://hdl.handle.net/123456789/7569
dc.description	A Dissertation Submitted in partial fulfillment ofthe requirements for the degree of Master of Science in mathematics	en_US
dc.description.abstract	In this project, we analyse a bionomic model of two competitive species in the presence of toxicity with different harvesting efforts. It is noted that under certain parametric restrictions, the model has a unique positive equilibrium point that is globally asymptotically stable whenever it is locally stable. Here we note that the origin and both the axial equilibria are unstable whenever a locally stable unique interior equilibrium point exists. The conditions for the existence of bionomic equilibria are discussed and optimal harvesting policy is derived using Pontryagin's maximum principle.	en_US
dc.subject	Mathematics	en_US
dc.title	THE DYNAMICS OF TWO-SPECIES ALLELOPATHIC COMPETITION WITH OPTIMAL HARVESTING	en_US
dc.type	Thesis	en_US