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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.

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
Full Text: DOI EuDML