Numerical bifurcation and stability analysis of an predator-prey system with generalized Holling type III functional response

Autor:	Z. Lajmiri, Reza Khoshsiar Ghaziani, M. Guasemi
Jazyk:	English<br />Portuguese
Rok vydání:	2018
Předmět:	Hopf bifurcation fold bifurcation continuation method Limit cycle Mathematics QA1-939
Zdroj:	Boletim da Sociedade Paranaense de Matemática, Vol 36, Iss 3 (2018)
Druh dokumentu:	article
ISSN:	0037-8712 2175-1188
DOI:	10.5269/bspm.v36i3.31849
Popis:	We perform a bifurcation analysis of a predator-prey model with Holling functional response. The analysis is carried out both analytically and numerically. We use dynamical toolbox MATCONT to perform numerical bifurcation analysis. Our bifurcation analysis of the model indicates that it exhibits numerous types of bifurcation phenomena, including fold, subcritical Hopf, cusp, Bogdanov-Takens. By starting from a Hopf bifurcation point, we approximate limit cycles which are obtained, step by step, using numerical continuation method and compute orbitally asymptotically stable periodic orbits.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0f715ec7c7694471a2bf46fe30dc498d Zobrazit plný text záznamu View record in DOAJ