IMPULSIVE DISPERSAL OF PLANT SEEDS IN SINGLE SPECIES MODEL

Autor:	Limin Wang, Lansun Chen, Yuanshun Tan
Rok vydání:	2007
Předmět:	Extinction Ecology Applied Mathematics General Medicine Fixed point Biology Agricultural and Biological Sciences (miscellaneous) Monotone polygon Single species Control theory Applied mathematics Biological dispersal Growth rate Diffusion (business) Poincaré map
Zdroj:	Journal of Biological Systems. 15:385-396
ISSN:	1793-6470 0218-3390
DOI:	10.1142/s021833900700226x
Popis:	In this paper, a single species model with impulsive diffusion between two patches is proposed, which provides a more natural description of plant seeds dynamics compared with the continuous or discrete ones. By using the discrete dynamical system generated by a monotone, concave map for the dispersal model and a ∊1 - ∊2 variation, it is proved that the Poincare map has a globally stable positive fixed point. This implies that the system considered here has a globally stable positive periodic solution under some sufficient conditions. Further numerical simulations show that the diffusion can save the extinction though the species has a negative growth rate in one patch.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::98f024e0c791595777a1402d1b8a2173 https://doi.org/10.1142/s021833900700226x Zobrazit plný text záznamu