The geographic spread of ’El mal de las caderas’ in Capybaras (Hydrochaeris hydrochaeris)

Publication Type:Journal Article
Year of Publication:2008
Authors:N. Anibal Maidana, Ferreira, Jr. W. Castro
Journal:Bulletin of Mathematical Biology
Volume:70
Pagination:1216-1234
Date Published:May
Type of Article:Article
ISBN Number:0092-8240
Keywords:(Mammalia) / ] [Argentina / Corrientes, [ / / ]., [ / Trypanosomatidae (Protozoa) / ] [Argentina / Corrientes, Dipteran vector] [Transmission of parasites / Tabanidae (Diptera) / ], Epidemiological model, epidemiological model] [Protozoan parasites / Trypanosomatidae /, Hosts, Hydrochaeris hydrochaeris (Hydrochaeridae): [Host]., Hydrochaeris hydrochaeris (Mammalia) / ] [Argentina / Corrientes, Hydrochaeris hydrochaeris [Dipteran parasites / Tabanidae / Protozoan, Ibera / ], Ibera / ] [ / / ]., Ibera / ]., Insect parasites, Land zones, Neotropical region, parasite transmission, parasite transmission] [ / / Protozoan parasite vector, Parasites, Parasites diseases and disorders, South America, Tabanidae [Mammalian hosts / Hydrochaeris hydrochaeris / Protozoan, Tabanidae: [Parasite]., transmission, transmission] [Transmission of parasites /, transmission] [Transmission of parasites / Hydrochaeris hydrochaeris, Trypanosomatidae (Kinetoplastida): [Parasite]., Trypanosomatidae [Mammalian hosts / Hydrochaeris hydrochaeris /, vector host] [ / / Epidemiological model
Abstract:

The aim of this work is to describe an epidemiological model for a capybara (Hydrochaeris hydrochaeris) population. The model considers a tabanid ("mutuca") population (Diptera: Tabanidae), as a vector for the disease called "mal de las caderas" in Estero del Ibera, Corrientes, Argentina. The study of this problem has ecological and economical importance since the meat and the hide of the capybara can be an exploitation resource. At first, a threshold value is determined as a function of the model parameters, obtaining a critical carrying capacity which determines the disease propagation or eradication. Then as the carrying capacity condition for the disease existence is satisfied, the existence of traveling wave solution is studied. Independent speeds are considered for the susceptible capybaras, the noninfected insect, and the disease. The speed of propagation for this model is obtained as function of model parameters followed by a discussion of strategies for controlling the spread of the disease.

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