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Keywords
(7)
Conservation Law
Differential Equation
Dynamic Consistency
Finite Difference
Mathematical Model
Satisfiability
First Order
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A Note on an NSFD Scheme for a Mathematical Model of Respiratory Virus Transmission
A Note on an NSFD Scheme for a Mathematical Model of Respiratory Virus Transmission,Ronald E. Mickens,Talitha M. Washington
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A Note on an NSFD Scheme for a Mathematical Model of Respiratory Virus Transmission
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Ronald E. Mickens
,
Talitha M. Washington
We construct a nonstandard
finite difference
(NSFD) scheme for an SIRS
mathematical model
of respiratory virus transmission. This discretization is in full compliance with the NSFD methodology as formulated by R. E. Mickens. By use of an exact
conservation law
satisfied by the SIRS differential equations, we are able to determine the corresponding denominator function for the discrete firstorder time derivatives. Our scheme is dynamically consistent with the SIRS differential equations since the conservation laws are preserved. Further, the scheme is shown to satisfy a positivity condition for its solutions for all values of the time stepsize.
Published in 2010.
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