title: Permanence of single-species stage-structured models.
abstract: In this paper, we consider population survival by using single-species stage-structured models. As a criterion of population survival, we employ the mathematical notation of permanence. Permanence of stage-structured models has already been studied by Cushing (1998). We generalize his result of permanence, and obtain a condition which guarantees that population survives. The condition is applicable to a wide class of stage-structured models. In particular, we apply our results to the Neubert-Caswell model, which is a typical stage-structured model, and obtain a condition for population survival of the model.
authors.affiliation: Department of Systems Engineering, Faculty of Engineering, Shizuoka University, Johoku 3-5-1, Hamamatsu, 432-8561, Japan. kon-r@math.club.ne.jp
authors.forename: Ryusuke
authors.initials: R
authors.lastname: Kon
authors.forename: Yasuhisa
authors.initials: Y
authors.lastname: Saito
authors.forename: Yasuhiro
authors.initials: Y
authors.lastname: Takeuchi
mesh_terms: D000465:Algorithms; D000818:Animals; D017753:Ecosystem; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics; D011158:Population Growth; D016019:Survival Analysis; D013997:Time Factors