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Zbl 1087.34542
Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro
Negative criteria for the existence of periodic solutions in a class of delay-differential equations. (English)
[J] Nonlinear Anal., Theory Methods Appl. 50, No. 7, A, 941-966 (2002). ISSN 0362-546X

The authors consider the class of delay-differential equations with distributed delay which can be transformed into an equivalent expanded system of ordinary differential equations (``linear chain trick''). To that system they apply the criterion of Li and Muldowney on the nonexistence of nonconstant periodic solutions for autonomous systems in $\bbfR^n$. The obtained results are applied to a SIR epidemic model.
[Klaus R. Schneider (Berlin)]

MSC 2000:: *34K13 Periodic solutions of functional differential equations
92D30 Epidemiology

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