Summary
In this paper the study of a nonlinear deterministic model of an age/sex differentiated population is started with a proof of existence and uniqueness of solution of the governing equation. We also obtain time dependent upper bounds to the male and female populations as well as necessary and sufficient conditions for equilibrium.
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References
Bailey, T. J.: The Mathematical Approach to Biology and Medicine. J. Wiley 1967.
Gurtin, M. E., Maccamy, R. C.: Non-linear Age-dependent Population Dynamics. Arch. Rat. Mech. Anal. 54 (3), 281–300 (1974).
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Sowunmi, C.O.A. Female dominant age-dependent deterministic population dynamics. J. Math. Biology 3, 9–17 (1976). https://doi.org/10.1007/BF00307855
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DOI: https://doi.org/10.1007/BF00307855