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Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics pp 73–98Cite as

Multiple Periodic Solutions of Nonlinear Functional Differential Equations

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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.

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Notes

  1. 1.

    Some of the results in this chapter are taken from Padhi et al. [9–11].

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Authors and Affiliations

  1. Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, Jharkhand, India

    Seshadev Padhi

  2. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, USA

    John R. Graef

  3. Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India

    P. D. N. Srinivasu

Authors
  1. Seshadev Padhi
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  2. John R. Graef
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  3. P. D. N. Srinivasu
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Correspondence to Seshadev Padhi .

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Padhi, S., Graef, J.R., Srinivasu, P.D.N. (2014). Multiple Periodic Solutions of Nonlinear Functional Differential Equations. In: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1895-1_4

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