Existence of solutions for a host-parasite model

Fabio Augusto Milner; Curtis Allan Patton

doi:10.1016/S0377-0427(00)00709-3

Existence of solutions for a host-parasite model

Fabio Augusto Milner, Curtis Allan Patton

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	331-361
Number of pages	31
Journal	Journal of Computational and Applied Mathematics
Volume	137
Issue number	2
DOIs	https://doi.org/10.1016/S0377-0427(00)00709-3
State	Published - Dec 15 2001
Externally published	Yes

Keywords

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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10.1016/S0377-0427(00)00709-3

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title = "Existence of solutions for a host-parasite model",

abstract = "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.",

keywords = "Dicentrarchus labrax, Diplectanum aequans, Existence of solutions, Parasite populations, Size-structured population models",

author = "Milner, {Fabio Augusto} and Patton, {Curtis Allan}",

note = "Funding Information: This work is supported in part by NSF through grant No. INT-9415775. ",

year = "2001",

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doi = "10.1016/S0377-0427(00)00709-3",

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T1 - Existence of solutions for a host-parasite model

AU - Milner, Fabio Augusto

AU - Patton, Curtis Allan

N1 - Funding Information: This work is supported in part by NSF through grant No. INT-9415775.

PY - 2001/12/15

Y1 - 2001/12/15

N2 - 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.

AB - 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.

KW - Dicentrarchus labrax

KW - Diplectanum aequans

KW - Existence of solutions

KW - Parasite populations

KW - Size-structured population models

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DO - 10.1016/S0377-0427(00)00709-3

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SP - 331

EP - 361

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Existence of solutions for a host-parasite model

Abstract

Keywords

ASJC Scopus subject areas

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