title: The dynamics of an infectious disease in a population with birth pulses.
abstract: In most models of population dynamics increases in population due to births are assumed to be time-independent, but many species of wild animal give birth only during a single period of the year. We propose a model for the dynamics of a fatal infectious disease in a wild animal population for which births occur in a single pulse once per time period. Periodic solutions are found and criteria for their stability determined. A simple example applied to tuberculosis in the possum is used to illustrate the effect of the birth pulse on critical population parameters.
authors.affiliation: AgResearch, Wallaceville Animal Research Centre, Upper Hutt, New Zealand. robertsm@agresearch.cri.nz
authors.forename: M G
authors.initials: MG
authors.lastname: Roberts
authors.forename: R R
authors.initials: RR
authors.lastname: Kao
mesh_terms: D000818:Animals; D000835:Animals, Wild; D003141:Communicable Diseases / Q000453:epidemiology / Q000662:veterinary*; D005260:Female; D007743:Labor, Obstetric; D008433:Mathematics; D008954:Models, Biological; D009893:Opossums; D011157:Population Dynamics; D011247:Pregnancy; D014376:Tuberculosis / Q000453:epidemiology / Q000662:veterinary