Age- and bite-structured models for vector-borne diseases

Epidemics
K S RockM J Keeling

Abstract

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.

References

Apr 1, 1995·Medical and Veterinary Entomology·J W Hargrove, B G Williams
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Jan 22, 2003·Immunology and Cell Biology·Warwick J Britton, Umaimainthan Palendira
Mar 19, 2011·Medical and Veterinary Entomology·J W HargroveJ E Ameh
May 7, 2011·EMBO Reports·Iñaki Iturbe-OrmaetxeScott L O' Neill
Aug 24, 2013·PLoS Neglected Tropical Diseases·Jan MedlockAlison P Galvani

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Citations

Oct 2, 2015·Malaria Journal·Romain PigeaultAna Rivero
Apr 6, 2016·Parasitology·Helen J WearingRebecca C Christofferson
Dec 18, 2018·PLoS Neglected Tropical Diseases·Warren Tennant, Mario Recker

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