ANALYSIS OF A PREY-PREDATOR MATHEMATICAL MODEL WITH TOXICITY, COMBINED HARVESTING,AND TAXATION

dc.contributor.author	ADUGNA TAYE
dc.date.accessioned	2025-03-13T07:34:26Z
dc.date.available	2025-03-13T07:34:26Z
dc.date.issued	2024-03
dc.identifier.uri	http://hdl.handle.net/123456789/2331
dc.description	ANALYSIS OF A PREY-PREDATOR MATHEMATICAL MODEL WITH TOXICITY, COMBINED HARVESTING,AND TAXATION	en_US
dc.description.abstract	This study deals with the dynamics and optimal harvesting of a prey-predator system in the presence of combined harvesting, toxicity, and taxation. The predator is assumed to be partially dependent on the prey species, and toxicity affects the growth rates of both species. Using a system of nonlinear ordinary differential equations, we have presented the qualitative behavior of the system near steady-states and studied an optimal harvesting problem using Pontryagin’s Maximum Principle. Finally, numerical simulations are provided to demonstrate the important theoretical results.	en_US
dc.description.sponsorship	amu	en_US
dc.language.iso	en	en_US
dc.subject	Prey-predator, toxicity, taxation, combined harvesting.	en_US
dc.title	ANALYSIS OF A PREY-PREDATOR MATHEMATICAL MODEL WITH TOXICITY, COMBINED HARVESTING,AND TAXATION	en_US
dc.type	Thesis	en_US