Geodesic
Dynamics of a two sex population with gestation period
Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 21-34.

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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.
DOI : 10.4064/am-27-1-21-34
Keywords: differential equations with delay, stationary solutions, population dynamics, mathematical modelling

Giorgio Busoni 1 ; Andrzej Palczewski 1

1 
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Giorgio Busoni; Andrzej Palczewski. Dynamics of a two sex population with gestation period. Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 21-34. doi : 10.4064/am-27-1-21-34. http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-21-34/

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