The effect of superinfection on the distribution of the infectious period - A continued fraction approximation

IMA Journal of Mathemathics Applied in Medicine and Biology

Volumn 14, Issue 2, 1997, Pages 113-123

  Parthasarathy, P R ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

Eigenvalues; Hyperexponential density function; Macdonald and dietz models of superinfection

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; HUMAN; MALARIA; MATHEMATICS; STATISTICS; SUPERINFECTION; SYSTEM ANALYSIS; TIME;

HUMANS; MALARIA; MATHEMATICS; MODELS, BIOLOGICAL; PROBABILITY THEORY; STOCHASTIC PROCESSES; SUPERINFECTION; TIME FACTORS;

DISINFECTION;

CONTINUED FRACTION; EIGEN-VALUE; EXPONENTIALS; HYPEREXPONENTIAL; HYPEREXPONENTIAL DENSITY FUNCTION; INFECTIOUS PERIOD; MACDONALD AND DIETZ MODEL OF SUPERINFECTION; NUMERICAL CALCULATION; SUPERINFECTION;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0031156132     PISSN: 02650746     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/14.2.113     Document Type: Article

References (11)

1. ANDERSON, M., & MAY, M., 1991. Infectious Diseases of Humans, Dynamics and Control. Oxford University Press.
2. ARON, J. L., & MAY, R. M., 1982. The population dynamics of malaria. In: Population Dynamics of Infections Diseases (R. M. Anderson, ed.), pp. 139-79. London: Chapman and Hall.
3. BAILEY, N. T. J., 1975. The Mathematical Theory of Infections Diseases and its Applications. London: Griffin.
4. DIETZ, K., 1988. Mathematical models for transmission and control of malaria, Principles and Practice of Malariology (W. H. Wernsdorf & I. McGregor, eds.), pp. 1091-1133. Edinburgh: Churchill Livingstone.
5. DIETZ, K., MOLINEUX, L., & THOMAS, A., 1974. A malaria model tested in the African Savannah. Bull, WHO 50, 347-57.
6. FINE, E. M., 1975. Superinfection - A problem in formulating a problem (An historical critique of Macdonalds theory), Trop. Dis. Bull. 72, 475-88.
7. JONES, W. B., & THRON, W. J., 1980, Continued Fractions, Analytic Theory and Applications. Reading, MA: Addison-Wesley.
8. NÅSELL, I., 1985, Mybrid Models of Tropical Infections. Heidels: Springer.
9. PARTHASARATHY, P. R., & VIJAYALAKSHMI, V., 1993. Transient solution of state-dependent queues - A continued fraction approach. Neural parallel Sci. Comput. 1, 97-107.
10. PARTHASARATHY, P. R., & VIJAYALAKSHMI, V., 1994. Busy period distribution for state-dependent multiserver queues. Asia Pacif. J. Operat. Res. 11, 131-40
11. WILKINSON, J. H., 1965, The Algebraic Eigenvalue Probem. Oxford: Clarendon.