An explicit optimal isolation policy for a deterministic epidemic model

Applied Mathematics and Computation

Volumn 163, Issue 3, 2005, Pages 1109-1121

  Clancy, Damian ^a   Piunovskiy, Alexei B ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Epidemic control; Modified infection rate; Optimal intervention

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; PUBLIC POLICY; RANDOM PROCESSES; STRATEGIC PLANNING;

EPIDEMIC CONTROL; MODIFIED INFECTION RATE; OPTIMAL INTERVENTION; OPTIMAL ISOLATION;

OPTIMAL CONTROL SYSTEMS;

EID: 14544287213     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.028     Document Type: Article

References (10)

1. K. Wickwire Mathematical models for the control of pests and infectious diseases: a survey Theor. Popul. Biol. 11 1977 182 238
2. D. Clancy, Epidemic models, control, Wiley Encyclopedia of Biostatistics, second ed., Wiley, in press
3. W. Gleißner The spread of epidemics Appl. Math. Comput. 27 1988 167 171
4. F.G. Ball, and P.D. O'Neill A modification of the general stochastic epidemic motivated by AIDS modelling Adv. Appl. Prob. 25 1993 39 62
5. N.T.J. Bailey The Mathematical Theory of Infectious Diseases and its Applications second ed. 1975 Griffin London
6. K.H. Wickwire Optimal isolation policies for deterministic and stochastic epidemics Math. Biosci. 26 1975 325 346
7. W.H. Fleming, and R.W. Rishel Deterministic and Stochastic Optimal Control 1975 Springer Berlin
8. D. Clancy Optimal intervention for epidemic models with general infection and removal rate functions J. Math. Biol. 39 1999 309 331
9. R. Morton, and K.H. Wickwire On the optimal control of a deterministic epidemic Adv. Appl. Prob. 6 1974 622 635
10. A. Abakuks Optimal immunisation policies for epidemics Adv. Appl. Prob. 6 1974 494 511