title: Prey-predator system with parental care for predators.
abstract: A stage structure is incorporated into a prey-predator model in which predators are split into immature predators and mature predators. It is assumed that immature predators are raised by their parents in the sense that they cannot catch the prey and their foods are provided by parents. Further, it is assumed that the maturation rate of immature predators is a function of the food availability for one immature individual. It is found that the model admits periodic solutions which are produced from the stage structure. Further, it is shown that two stability switches of positive equilibria may occur due to the transition rate incorporating the influence of nutrient, and that the enrichment of adult predators may lead to the catastrophe of the ecological system.
authors.affiliation: Department of Mathematics, Southwest Normal University, Chongqing 400715, PR China.
authors.forename: Wendi
authors.initials: W
authors.lastname: Wang
authors.forename: Yasuhiro
authors.initials: Y
authors.lastname: Takeuchi
authors.forename: Yasuhisa
authors.initials: Y
authors.lastname: Saito
authors.forename: Shinji
authors.initials: S
authors.lastname: Nakaoka
mesh_terms: D000818:Animals; D004435:Eating / Q000502:physiology; D006128:Growth; D008954:Models, Biological; D016487:Parenting; D011156:Population Density; D011157:Population Dynamics; D011235:Predatory Behavior / Q000502:physiology*