Mathematical analysis of harvested predator-prey system with prey refuge and intraspecific competition

Autor:	Thadei Sagamiko, Alanus Mapunda
Rok vydání:	2021
Předmět:	education.field_of_study Extinction Phase portrait Ecology Population Constant (mathematics) education Predator Bifurcation Intraspecific competition Predation Mathematics
Zdroj:	Tanzania Journal of Science. 47:728-737
ISSN:	2507-7961 0856-1761
DOI:	10.4314/tjs.v47i2.28
Popis:	In this paper, a predator-prey relationship in the presence of prey refuge was studied. The analysis of the dependence of locally stable equilibrium points on the parameters of the problem was carried out. Bifurcation and limit cycles for the model were analyzed to show the dynamical behaviour of the system. The results showed that the system is stable at a constant prey refuge m = 0.3 and prey harvesting rate H = 0.3. However, increasing m and decreasing H or vice versa, the predator-prey system remains stable. It was further observed that for a constant prey refuge m ≥ 0.78, the predator population undergoes extinction. Therefore, m was found to be a bifurcation parameter and m = 0.78 is a bifurcation value. Keywords: Prey refuge, bifurcation, harvesting, intraspecific competition, phase portrait
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7dfc77c3dc949b813b2e64548f6112f1 https://doi.org/10.4314/tjs.v47i2.28 Zobrazit plný text záznamu