Relationships among recent models for insect population dynamics with variable rates of development |
| |
Authors: | G B Schaalje H R van der Vaart |
| |
Institution: | (1) Biomathematics Graduate Program, Department of Statistics, North Carolina State University, Campus Box 8203, 27695-8203 Raleigh, NC, USA;(2) Present address: Agriculture Canada Research Station, P.O. Box 3000, T1J 4B1 Main, Lethbridge, Alberta, Canada |
| |
Abstract: | A classification scheme for those population models which allow variation in development rates is proposed, based on two ways of modifying standard age-structured models. The resulting classes of models are termed development index models and sojourn time models. General formulations for the two classes of models are developed from two basic balance equations, and numerous specific models from the literature are shown to fit into the scheme. Concepts from competing risks theory are shown to be important in understanding the interplay between mortality and maturation. Relationships among the classes are investigated both for the most general forms of the models and for the simpler forms often used. The scheme can provide guidance in developing appropriate insect population models for specific modelling situations.Contribution 3878871 |
| |
Keywords: | Population dynamics Variable development rates Distributed delay Pest management models Competing risks |
本文献已被 SpringerLink 等数据库收录! |
|