Article
Kyungpook Mathematical Journal 2020; 60(2): 335-347
Published online June 30, 2020
Copyright © Kyungpook Mathematical Journal.
Bifurcation Analysis of a Spatiotemporal Parasite-host System
Hunki Baek
Department of Mathematics Education, Daegu Catholic University, Gyeongsan, Gyeongbuk, 38430, Republic of Korea
e-mail : hkbaek@cu.ac.kr
Received: April 25, 2018; Accepted: March 7, 2020
In this paper, we take into account a parasite-host system with reaction-diffusion. Firstly, we derive conditions for Hopf, Turing, and wave bifurcations of the system in the spatial domain by means of linear stability and bifurcation analysis. Secondly, we display numerical simulations in order to investigate Turing pattern formation. In fact, the numerical simulation discloses that typical Turing patterns, such as spotted, spot-stripelike mixtures and stripelike patterns, can be formed. In this study, we show that typical Turing patterns, which are well known in predator-prey systems ([
Keywords: a spatiotemporal parasite-host system,Turing bifurcation, Hopf bifurcation, wave bifurcation, pattern formation