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Patient-dependent effects in disease control: a mathematical model

Published online by Cambridge University Press:  17 February 2009

Jean M. Tchuenche
Jean M. Tchuenche
Affiliation:
Mathematics Department, University of Dar es Salaam, P.O. Box 35062, Dar es Salaam, Tanzania; e-mail: jmt_biomaths@yahoo.co.uk.
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Abstract

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The state of a patient is an important concept in biomedical sciences. While analytical methods for predicting and exploring treatment strategies of disease dynamics have proven to have useful applications in public health policy and planning, the state of a patient has attracted less attention, at least mathematically. As a result, models constructed in relation to treatment strategies may not be very informative. We derive a patient-dependent parameter from an age-physiology dependent population model, and show that a single treatment strategy is not always optimal. Also, we derive a function which increases with the patient dependence parameter and describes the effort expended to be in good health.

Keywords

population dynamicsagecost functionalHamiltonianpatientdependent parametereffort
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 4 , April 2007 , pp. 583 - 596
Copyright
Copyright © Australian Mathematical Society 2007

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