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Existence of periodic solutions for first order differential equations with applications. (English) Zbl 1430.34057

Smith, Frank T. (ed.) et al., Mathematics applied to engineering, modelling, and social issues. Cham: Springer. Stud. Syst. Decis. Control 200, 333-361 (2019).
Summary: In this chapter, by using a fixed point theorem in cones in a Banach space, we present different sufficient conditions for the existence of at least two positive periodic solutions of first order functional differential equations. The results, presented in this chapter, are then applied to the Nicholson’s Blowflies model and the generalized Michaelis-Menton type single species growth model.
For the entire collection see [Zbl 1418.76007].

MSC:

34C25 Periodic solutions to ordinary differential equations
34A05 Explicit solutions, first integrals of ordinary differential equations
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