Well-posedness of an infinite system of partial differential equations modelling parasitic infection in an age-structured host

Pugliese, Andrea and Tonetto, Lorenza (2002) Well-posedness of an infinite system of partial differential equations modelling parasitic infection in an age-structured host. UNSPECIFIED. (In Press)

[img]
Preview
 PDF
Download (606Kb) | Preview

    Abstract

    We study a deterministic model for the dynamics of a population infected by macroparasites. The model consists of an infnite system of partial differential equations, with initial and boundary conditions; the system is transformed in an abstract Cauchy problem on a suitable Banach space, and existence and uniqueness of the solution are obtained through multiplicative perturbation of a linear C0°-semigroup. Positivity and boundedness are proved using the specific form of the equations.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA374.7 Partial differential equations
    Report Number: UTM 619, May 2002
    Repository staff approval on: 17 May 2005

    Actions (login required)

    		 View Item