Theoretical and mathematical approach of some regulation mechanisms in a marine Host-Parasite system
Langlais, Michel ; Silan, Patrick
HAL, hal-01182480 / Harvested from HAL
Text on HAL
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.
Publié le : 1995-07-04
Classification:  Macroparasites,  overdispersion,  age and spatial structures,  deterministic and stochastic model,  Fish-Monogenean model,  population dynamics,  marine ecosystems,  [SDV.EE]Life Sciences [q-bio]/Ecology, environment,  [SDV.EE.IEO]Life Sciences [q-bio]/Ecology, environment/Symbiosis,  [SDV.MP.PAR]Life Sciences [q-bio]/Microbiology and Parasitology/Parasitology,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR],  [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation,  [SDV.BA.MVSA]Life Sciences [q-bio]/Animal biology/Veterinary medicine and animal Health 
@article{hal-01182480,
     author = {Langlais, Michel and Silan, Patrick},
     title = {Theoretical and mathematical approach of some regulation mechanisms in a marine Host-Parasite system},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01182480}
}

Langlais, Michel; Silan, Patrick. Theoretical and mathematical approach of some regulation mechanisms in a marine Host-Parasite system. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-01182480/