Dynamics of a Modified Predator-Prey System to Allow for a Functional Response and Time Delay
Year: 2016
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 384–399
Abstract
A modified predator-prey system described by two differential equations and an algebraic equation is discussed. Formulae for determining the direction of a Hopf bifurcation and the stability of the bifurcating periodic solutions are derived differential-algebraic system theory, bifurcation theory and centre manifold theory. Numerical simulations illustrate the results, which includes quite complex dynamical behaviour.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.141214.050616a
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 384–399
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Predator-prey system harvesting stability time delay periodic solutions.
-
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.Journal of Mathematical Sciences, Vol. (2025), Iss.
https://doi.org/10.1007/s10958-025-07659-7 [Citations: 0] -
Hopf bifurcation analysis in a multiple delayed innovation diffusion model with Holling II functional response
Kumar, Rakesh | Sharma, Anuj Kumar | Agnihotri, KulbhushanMathematical Methods in the Applied Sciences, Vol. 43 (2020), Iss. 4 P.2056
https://doi.org/10.1002/mma.6032 [Citations: 5] -
Dynamics of an Innovation Diffusion Model with Time Delay
Kumar, Rakesh | Sharma, Anuj K. | Agnihotri, KulbhushanEast Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 3 P.455
https://doi.org/10.4208/eajam.201216.230317a [Citations: 14]