Local stability of a co-opetition model between two transportation modes with delays

Autor:	Qin Gao, Ming-Lei Zhang
Rok vydání:	2012
Předmět:	Mathematical optimization Lyapunov functional Relation (database) Control theory Positive equilibrium Nonlinear differential equations Stability (probability) Mathematics
Zdroj:	ICMLC
DOI:	10.1109/icmlc.2012.6359006
Popis:	In this paper, a co-opetition model with discrete delays which reflects the relation between two transportation modes is established based on the Lotka-Volterra model. The local stability of the positive equilibrium is investigated through constructing a proper Lyapunov functional. A detailed and explicit procedure of obtaining the sufficient conditions for local stability of the positive equilibrium of the system along with an estimate about the size of allowable delay is provided. Then the inherent dynamics relation and evolution mechanism of the harmonious developments between two different transportation modes are discussed, the theoretic condition in which the two different transportation modes can coexist harmoniously is given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1923e1deccb8ad0515e1d727e713591c https://doi.org/10.1109/icmlc.2012.6359006 Zobrazit plný text záznamu