Multiple Periodic Solutions of Nonlinear Functional Differential Equations

Seshadev Padhi (), John R. Graef () and P. D. N. Srinivasu ()
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Seshadev Padhi: Birla Institute of Technology, Mesra, Department of Applied Mathematics
John R. Graef: University of Tennessee at Chattanooga, Department of Mathematics
P. D. N. Srinivasu: Andhra University, Department of Mathematics

Chapter Chapter 4 in Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics, 2014, pp 73-98 from Springer

Abstract: Abstract The existence of two positive periodic solutions of first order functional differential equations with nondecreasing nonlinear terms is proved. The results are applied to the logistic equation of multiplicative type, the generalized Richards single species growth model, the generalized Michaelis-Menton type single species growth model, and to a model representing the dynamics of a renewable resource that is subject to Allee effects.

Keywords: Existence of two positive periodic solutions; Nondecreasing nonlinear terms; Logistic equation of multiplicative type; Generalized Richards single species growth model; Generalized Michaelis-Menton single species model; Renewable resource model; Allee effects (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1895-1_4

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DOI: 10.1007/978-81-322-1895-1_4

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