Approximating the long-term behaviour of a model for parasitic infection

Journal of Mathematical Biology

Volumn 42, Issue 6, 2001, Pages 555-581

  Luchsinger, C J ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Coupling; Infinitely many types; Law of large numbers; Long term behaviour; Martingale; Stationary solutions

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; HUMAN; MORTALITY; PARASITOLOGY; PARASITOSIS; SCHISTOSOMIASIS; STATISTICS;

ANIMALS; COMPUTER SIMULATION; HUMANS; MODELS, BIOLOGICAL; PARASITIC DISEASES; SCHISTOSOMIASIS; STOCHASTIC PROCESSES;

EID: 0035378137     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850100083     Document Type: Article

References (6)

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2. Barbour, A.D.: Threshold Phenomena in Epidemic Theory. In: F.P. Kelly (Ed.), Probability, Statistics and Optimisation, 101-116, Wiley, New York. (1994)
3. Barbour, A.D., Heesterbeek, J.A.P., Luchsinger, C.J.: Thresholds and initial growth rates in a model of parasitic infection, Ann. of Appl. Prob., 6(4), 1045-1074 (1996)
4. Ethier, S., Kurtz, T.: Markov Processes, Characterization and Convergence., Wiley, New York. (1986)
5. Hamza, K., Klebaner, F.C.: Conditions for integrability of Markov chains, J. Appl. Prob., 32, 541-547 (1995)
6. Luchsinger, C.J.: Stochastic models of a parasitic infection, exhibiting three basic reprocuction ratios, J. Math. Biol. 42, 532-554 (2001). DOI: 10.1007/s002850100082