Non-constant positive steady states for the HP food chain system with cross-diffusions

Autor:	Zijuan Wen, Chengkui Zhong
Rok vydání:	2010
Předmět:	Strongly coupled Steady state (electronics) Diffusion Stability (probability) Computer Science Applications Food chain Modeling and Simulation Modelling and Simulation Reaction–diffusion system Statistical physics Constant (mathematics) Mathematical economics Numerical stability Mathematics
Zdroj:	Mathematical and Computer Modelling. 51(9-10):1026-1036
ISSN:	0895-7177
DOI:	10.1016/j.mcm.2009.10.012
Popis:	We consider a strongly coupled reaction-diffusion system describing three interacting species in the HP food chain structure. Based on the Leray-Schauder degree theory, the non-existence and existence of non-constant positive steady states are investigated. The stability of the constant positive steady state is also discussed. The results indicate that strong cross-diffusions are helpful for the appearance of the non-constant positive steady state (stationary patterns).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e9652877864b6e0f4415eb3e3936823 Zobrazit plný text záznamu Full Text from ScienceDirect