Existence of solutions for a host-parasite model

Fabio Augusto Milner, Curtis Allan Patton

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The sea bass Dicentrarchus labrax has several gill ectoparasites. Diplectanum aequans (Plathelminth, Monogenea) is one of these species. Under certain demographic conditions, this flat worm can trigger pathological problems, in particular in fish farms. The life cycle of the parasite is described and a model for the dynamics of its interaction with the fish is described and analyzed. The model consists of a coupled system of ordinary differential equations and one integro-differential equation.

Original languageEnglish (US)
Pages (from-to)331-361
Number of pages31
JournalJournal of Computational and Applied Mathematics
Issue number2
StatePublished - Dec 15 2001
Externally publishedYes


  • Dicentrarchus labrax
  • Diplectanum aequans
  • Existence of solutions
  • Parasite populations
  • Size-structured population models

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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