Limiting behaviour in an epidemic model

Nonlinear Analysis

Volumn 1, Issue 5, 1977, Pages 459-470

  Diekmann, O ^a  

^a Mathematisch Centrum 2e Boerhaavestraat 49 Amsterdam Holland USA ^*  (United States)

Author keywords

epidemic model of Kermack and McKendrick; limiting behaviour as the forcing function tends to zero while x = 0 is a unstable steady state; linear and nonlinear Volterra equations on the whole line; nonlinear Volterra integral equations; threshold phenomenon

Indexed keywords

EID: 0003119317     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(77)90011-6     Document Type: Article

References (17)

1. A contribution to the mathematical theory of epidemics
2. SIAM Regional Conference Series in Applied Mathematics
3. Notes on the mathematical theory of epidemics
4. Deterministic and stochastic epidemics in closed populations
5. Perturbations of the nonlinear renewal equation
6. Evolution of an epidemic with a small number of initial infectives
7. On the asymptotic behaviour of the bounded solutions of some integral equations
8. On the asymptotic behaviour of the bounded solutions of some integral equations
9. On the asymptotic behaviour of the bounded solutions of some integral equations
10. On the renewal equation
11. Hereditary laws and nonlinear integral equations on the line
12. On the number of solutions of nonlinear equations in ordered Banach Spaces
13. On a nonlinear integral equation for population growth problems