Models of Bovine Babesiosis Including Juvenile Cattle

    Authors

    C. M. Saad-Roy; Z. S. Shuai;P. van den Driessche

    Comments

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    Abbreviated Journal Title

    Bull. Math. Biol.

    Keywords

    Bovine Babesiosis; Global stability; Disease control strategy; Target; reproduction number; RHIPICEPHALUS BOOPHILUS MICROPLUS; INFECTIOUS-DISEASE CONTROL; BOS-INDICUS CATTLE; REPRODUCTION NUMBER; MATHEMATICAL-MODEL; BIGEMINA; INFECTION; INNATE RESISTANCE; SOUTH TEXAS; TICK; TRANSMISSION; Biology; Mathematical & Computational Biology

    Abstract

    Bovine Babesiosis in cattle is caused by the transmission of protozoa of Babesia spp. by ticks as vectors. Juvenile cattle (9 months of age) have resistance to Bovine Babesiosis, rarely show symptoms, and acquire immunity upon recovery. Susceptibility to the disease varies between breeds of cattle. Models of the dynamics of Bovine Babesiosis transmitted by the cattle tick that include these factors are formulated as systems of ordinary differential equations. Basic reproduction numbers are calculated, and it is proved that if these numbers are below the threshold value of one, then Bovine Babesiosis dies out. However, above the threshold number of one, the disease may approach an endemic state. In this case, control measures are suggested by determining target reproduction numbers. The percentage of a particular population (for example, the adult bovine population) needed to be controlled to eradicate the disease is evaluated numerically using Columbia data from the literature.

    Journal Title

    Bulletin of Mathematical Biology

    Volume

    77

    Issue/Number

    3

    Publication Date

    1-1-2015

    Document Type

    Article

    Language

    English

    First Page

    514

    Last Page

    547

    WOS Identifier

    WOS:000352106100007

    ISSN

    0092-8240

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