Age- and bite-structured models for vector-borne diseases
The biology and behaviour of biting insects is a vitally important aspect in the spread of vector-borne diseases. This paper aims to determine, through the use of mathematical models, what effect incorporating vector senescence and realistic feeding patterns has on disease. A novel model is develope...
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doaj-81ce2c200c6a4d9a807d7bc79767e5b12020-11-24T23:17:16ZengElsevierEpidemics1755-43651878-00672015-09-0112C202910.1016/j.epidem.2015.02.006Age- and bite-structured models for vector-borne diseasesK.S. Rock0D.A. Wood1M.J. Keeling2Warwick Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, United KingdomWarwick Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, United KingdomWarwick Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, United KingdomThe biology and behaviour of biting insects is a vitally important aspect in the spread of vector-borne diseases. This paper aims to determine, through the use of mathematical models, what effect incorporating vector senescence and realistic feeding patterns has on disease. A novel model is developed to enable the effects of age- and bite-structure to be examined in detail. This original PDE framework extends previous age-structured models into a further dimension to give a new insight into the role of vector biting and its interaction with vector mortality and spread of disease. Through the PDE model, the roles of the vector death and bite rates are examined in a way which is impossible under the traditional ODE formulation. It is demonstrated that incorporating more realistic functions for vector biting and mortality in a model may give rise to different dynamics than those seen under a more simple ODE formulation. The numerical results indicate that the efficacy of control methods that increase vector mortality may not be as great as predicted under a standard host–vector model, whereas other controls including treatment of humans may be more effective than previously thought.http://www.sciencedirect.com/science/article/pii/S1755436515000286Vector-borne diseasePDE modelFeeding patternsVector behaviourStructured population model |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
K.S. Rock D.A. Wood M.J. Keeling |
spellingShingle |
K.S. Rock D.A. Wood M.J. Keeling Age- and bite-structured models for vector-borne diseases Epidemics Vector-borne disease PDE model Feeding patterns Vector behaviour Structured population model |
author_facet |
K.S. Rock D.A. Wood M.J. Keeling |
author_sort |
K.S. Rock |
title |
Age- and bite-structured models for vector-borne diseases |
title_short |
Age- and bite-structured models for vector-borne diseases |
title_full |
Age- and bite-structured models for vector-borne diseases |
title_fullStr |
Age- and bite-structured models for vector-borne diseases |
title_full_unstemmed |
Age- and bite-structured models for vector-borne diseases |
title_sort |
age- and bite-structured models for vector-borne diseases |
publisher |
Elsevier |
series |
Epidemics |
issn |
1755-4365 1878-0067 |
publishDate |
2015-09-01 |
description |
The biology and behaviour of biting insects is a vitally important aspect in the spread of vector-borne diseases. This paper aims to determine, through the use of mathematical models, what effect incorporating vector senescence and realistic feeding patterns has on disease. A novel model is developed to enable the effects of age- and bite-structure to be examined in detail. This original PDE framework extends previous age-structured models into a further dimension to give a new insight into the role of vector biting and its interaction with vector mortality and spread of disease. Through the PDE model, the roles of the vector death and bite rates are examined in a way which is impossible under the traditional ODE formulation. It is demonstrated that incorporating more realistic functions for vector biting and mortality in a model may give rise to different dynamics than those seen under a more simple ODE formulation. The numerical results indicate that the efficacy of control methods that increase vector mortality may not be as great as predicted under a standard host–vector model, whereas other controls including treatment of humans may be more effective than previously thought. |
topic |
Vector-borne disease PDE model Feeding patterns Vector behaviour Structured population model |
url |
http://www.sciencedirect.com/science/article/pii/S1755436515000286 |
work_keys_str_mv |
AT ksrock ageandbitestructuredmodelsforvectorbornediseases AT dawood ageandbitestructuredmodelsforvectorbornediseases AT mjkeeling ageandbitestructuredmodelsforvectorbornediseases |
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1725584020084883456 |