LANGLAIS, Michel; SILAN, Patrick

doi:10.1142/S0218339095000514

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LANGLAIS, Michel
Institut de Mathématiques de Bordeaux [IMB]

SILAN, Patrick
Institut méditerranéen d'océanologie [MIO]

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Journal of Biological Systems. 1995, vol. 3, n° 2, p. 559-568

World Scientific Publishing

Résumé en anglais

Host-parasite systems offer such a complex behaviour that few quantitative analysis of their coupled dynamics have been performed. Many intertwinned factors play a role, such as intensity-dependent (intra or interspecific competition, pathogeny, immunological reactions) and/or intensity-independent (abiotic factors, host ethology).Most biomathematical approaches to host-parasite systems are concerned with infectious processes. Corresponding epidemiological models are not well-adapted to macroparasites whose demographical behaviour is quite specific: host mortality, parasite fertility and sometimes recruitment mechanisms depend on the amount of already fixed parasites on a given host and not on the mere existence of parasites. Overdispersion processes are fundamental and determine for a large part the regulation of both populations. A central issue is therefore a reliable description of these processes and their interactions with the global dynamics of the system.Our goal is to develop a mixed deterministic and stochastic model describing the dynamics of a host-parasite system (fish-helminth parasite) having a direct cycle within a marine environment. A dynamical analysis combining a deterministic approach and a stochastic one adapted to macroparasites allows the introduction of spatial and temporal heterogeneities. A particular effort is made towards the recruitment process.< Réduire

Mots clés en anglais

Fish-Monogenean model

population dynamics

deterministic and stochastic model

age and spatial structures

overdispersion

Macroparasites

marine ecosystems

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Theoretical and mathematical approach of some regulation mechanisms in a marine Host-Parasite system

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