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Modeling Gender-Structured Wildlife Diseases with Harvesting : Chronic Wasting Disease as an Example
Joint Authors
Smith?, Robert J.
Lutscher, Frithjof
al-Arydah, Mo'tassem
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-20
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Chronic wasting disease (CWD) is a prion infectious disease that affects members of the deer family in North America.
Concerns about the economic consequences of the presence of CWD have led management agencies to seek effective strategies to control CWD distribution and prevalence.
Current mathematical models are either based on complex simulations or overly simplified compartmental models.
We develop a mathematical model that includes gender structure to describe CWD in a logistically growing population.
The model includes harvesting as a management strategy for the disease.
We determine the stability conditions of the disease-free equilibrium for the model and calculate the basic reproduction number.
We find an optimum interval of harvesting: with too little harvesting, the disease persists, whereas too much harvesting results in extinction of the population.
A sensitivity analysis shows that the disease threshold is more sensitive to female than male harvesting and that harvesting has the greatest effect on the basic reproduction number.
However, while harvesting may be a way to control CWD, the range of admissible harvesting rates may be very narrow, depending on other parameters.
American Psychological Association (APA)
al-Arydah, Mo'tassem& Smith?, Robert J.& Lutscher, Frithjof. 2012. Modeling Gender-Structured Wildlife Diseases with Harvesting : Chronic Wasting Disease as an Example. ISRN Biomathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-499210
Modern Language Association (MLA)
al-Arydah, Mo'tassem…[et al.]. Modeling Gender-Structured Wildlife Diseases with Harvesting : Chronic Wasting Disease as an Example. ISRN Biomathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-499210
American Medical Association (AMA)
al-Arydah, Mo'tassem& Smith?, Robert J.& Lutscher, Frithjof. Modeling Gender-Structured Wildlife Diseases with Harvesting : Chronic Wasting Disease as an Example. ISRN Biomathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-499210
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499210