Abstract
In this paper we consider a two-sex population model proposed by Hoppenstead. We do not assume any special form of the mating function. We address the problem of existence and uniqueness of continuous and classical solutions. We give sufficient conditions for continuous solutions to exist globally and we show that they have in fact a directional derivative in the direction of the characteristic lines and satisfy the equations of the model with the directional derivative replacing the partial derivatives. The existence of classical solutions is established with mild assumptions on the vital rates.
Original language | English (US) |
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Pages (from-to) | 111-129 |
Number of pages | 19 |
Journal | Mathematical population studies |
Volume | 7 |
Issue number | 2 |
DOIs | |
State | Published - 1999 |
Externally published | Yes |
Keywords
- Classical solutions
- Continuous solutions
- Directional derivative
- Sexually transmitted diseases
- Two-sex population model
ASJC Scopus subject areas
- Demography
- Geography, Planning and Development
- General Agricultural and Biological Sciences