Keywords
- Periodic Solution
- Hopf Bifurcation
- Scalar Equation
- Implicit Function Theorem
- Bifurcation Theory
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References
K. L. Cooke and J. A. Yorke, Some equations modelling growth processes and gonorrhea epidemiology, Math. Biosci. 16(1973), 75–101.
Frank Hoppensteadt, Mathematical Theories of Populations: Demographics, Genetics and Epidemics, SIAM Regional Conference Series in Applied Mathematics (1975), SIAM, Philadelphia, Pa.
J. M. Cushing, Bifurcation of periodic solutions of integro-differential systems with applications to time delay models in population dynamics, SIAM J. Appl. Math. 33, no. 4(1977), 640–654.
David H. Sattinger, Topics in Stability and Bifurcation Theory, Lecture Notes in Mathematics 309(1973), Springer-Verlag, New York.
A. B. Poore, On the theory and application of the Hopf-Friedrichs bifurcation theory, Arch. Rat. Mech. Anal. 60 (1976), 371–393.
Paul Waltman, Deterministic Threshold Models in the Theory of Epidemics, Lecture Notes in Biomathematics 1(1974), Springer-Verlag, New York.
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© 1979 Springer-Verlag
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Cushing, J.M. (1979). Nontrivial periodic solutions of some volterra integral equations. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064495
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DOI: https://doi.org/10.1007/BFb0064495
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Print ISBN: 978-3-540-09534-7
Online ISBN: 978-3-540-35035-4
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