Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 122–152
Abstract
A predator-prey system with Holling type II functional response and a time lag is described by a delayed differential-algebra system and the local asymptotic stability and Hopf bifurcation of such system is studied. It is shown that if the time lag increases, a sequence of Hopf bifurcations can occur. The stability and direction of the Hopf bifurcations are studied by using center manifold theory for functional differential equations. A numerical example illustrates our theoretical findings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.070318.070518
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 122–152
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: Predator-prey bifurcation time lag parametrisation harvesting.
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IMPACT OF FEAR AND HARVESTING EFFORT ON A DIFFERENTIAL-ALGEBRAIC PREY-PREDATOR MODEL BASED ON SQUARE ROOT FUNCTIONAL RESPONSE
Elsadany, A.A.
Mahapatra, G. S.
Santra, P. K.
Pal, D.
Elsonbaty, A.
Al-khedhairi, A.
(2025)
https://doi.org/10.1007/s10958-025-07659-7 [Citations: 0]