Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?

• Autorzy: Tchuenche, Jean M

Abstrakty

EN

A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain explicitly, we prove the uniqueness of its solutions using the fundamental Green’s formula. The space variable is taken into account in the extended model with the assumption that the coefficient of diffusivity is unity.

Słowa kluczowe

EN

Variational inequalities; population dynamics; age structure; physiological variable; Ostrogradski or Green’s formula

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Acta Universitatis Lodziensis. Folia Mathematica
• Rocznik: 2013
• Tom: vol. 18

Daty

wydano

2013

Twórcy

autor

Tchuenche, Jean M

other

Department of Mathematics, University of Dar es Salaam P.O.Box 35062, Dar es Salaam, Tanzania

other

[e-mail]

Identyfikatory

URI

http://hdl.handle.net/11089/18159