×

zbMATH — the first resource for mathematics

Dynamics of a two sex population with gestation period. (English) Zbl 0990.92031
Summary: We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary (“permanent”) solutions and show that such solutions exist if the model parameters satisfy two nonlinear relations.

MSC:
92D25 Population dynamics (general)
35Q80 Applications of PDE in areas other than physics (MSC2000)
35R10 Partial functional-differential equations
34K10 Boundary value problems for functional-differential equations
PDF BibTeX XML Cite
Full Text: DOI EuDML