- Tytuł:
- Dynamics of a two sex population with gestation period
- Autorzy:
-
Busoni, Giorgio
Palczewski, Andrzej - Powiązania:
- https://bibliotekanauki.pl/articles/1208215.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
differential equations with delay
stationary solutions
population dynamics
mathematical modelling - Opis:
- 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.
- Źródło:
-
Applicationes Mathematicae; 2000, 27, 1; 21-34
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł