# Dynamics of a two sex population with gestation period

Giorgio Busoni; Andrzej Palczewski

Applicationes Mathematicae (2000)

- Volume: 27, Issue: 1, page 21-34
- ISSN: 1233-7234

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topBusoni, Giorgio, and Palczewski, Andrzej. "Dynamics of a two sex population with gestation period." Applicationes Mathematicae 27.1 (2000): 21-34. <http://eudml.org/doc/219257>.

@article{Busoni2000,

abstract = {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.},

author = {Busoni, Giorgio, Palczewski, Andrzej},

journal = {Applicationes Mathematicae},

keywords = {differential equations with delay; stationary solutions; population dynamics; mathematical modelling},

language = {eng},

number = {1},

pages = {21-34},

title = {Dynamics of a two sex population with gestation period},

url = {http://eudml.org/doc/219257},

volume = {27},

year = {2000},

}

TY - JOUR

AU - Busoni, Giorgio

AU - Palczewski, Andrzej

TI - Dynamics of a two sex population with gestation period

JO - Applicationes Mathematicae

PY - 2000

VL - 27

IS - 1

SP - 21

EP - 34

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/219257

ER -

## References

top- [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. Zbl0808.92024
- [3] L. Teglielli, Dinamica di popolazioni a due sessi, Ricerca di soluzioni per sistenti, Università di Firenze, 1998.

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