Periodic solutions to nonlinear integral equations on the infinite interval modelling infectious disease

Nonlinear Analysis, Theory, Methods and Applications

Volumn 40, Issue 1, 2000, Pages 21-35

  Agarwal, Ravi P ^a   O'Regan, Donal ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR EQUATIONS; SET THEORY; THEOREM PROVING;

FIXED POINT THEOREM;

INTEGRAL EQUATIONS;

EID: 0034172678     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)85002-6     Document Type: Article

References (6)

1. R.P. Agarwal, D. O'Regan, A fixed point theorem of Leggett Williams type with applications to single and multivalued maps, to appear.
2. K.L. Cooke, J.L. Kaplan, A periodicity threshold theorem for epidemics and population growth. Mat. Biosci. 31 (1976) 87-104.
3. C. Corduneanu, Integral Equations and Stability of Feedback Systems, Academic Press, New York, 1973.
4. D. Guo, V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, San Diego, 1988.
5. R.W. Leggett, L.R. Williams, A fixed point theorem with application to an infectious disease model, J. Math. Anal. Appl. 76 (1980) 91-97.
6. M. Meehan, D. O'Regan, Multiple nonnegative solutions to nonlinear integral equations on compact and semiinfinite intervals, to appear.