Dynamics of a two sex population with gestation period

• Autorzy: Giorgio Busoni , Andrzej Palczewski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

differential equations with delay; stationary solutions; population dynamics; mathematical modelling

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2000
• Tom: 27
• Numer: 1
• Strony: 21-34

Daty

wydano

2000

otrzymano

1999-01-15

Twórcy

autor

Giorgio Busoni

• Dipartimento di Matematica 'Ulisse Dini', Università di Firenze, Viale G. B. Morgagni 67/A, 50134 Firenze, Italy

autor

Andrzej Palczewski

• Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] G. Busoni and S. Matucci, Population dynamics with delay, Studi Urbinati I (1997), 119-137 (paper presented at the meeting 'La matematica nei problemi dell'ambiente, della biologia e della medicina', Urbino, 1996).
• [2] K. P. Hadeler, Pair formation models with maturation period, J. Math. Biology 32 (1993), 1-15.
• [3] L. Teglielli, Dinamica di popolazioni a due sessi, Ricerca di soluzioni per sistenti, Università di Firenze, 1998.