Relationships in a simple harmonic mean two-sex fertility model.

*(English)*Zbl 0532.92019The paper examines relationships in a continuous time two-sex stable population model that is not specific for age and which follows the harmonic mean consistency condition for the two sexes. The stable population intrinsic growth rate and the sex composition are derived, and the process of stabilization is investigated. For the discrete time case, an explicit algebraic solution is presented and used to describe the trajectory to stability of several hypothetical populations. For the continuous model, a closed form expression for the trajectory to stability can only be found under the assumption of no mortality.

Reviewer: V.Abel

##### MSC:

92D25 | Population dynamics (general) |

##### Keywords:

continuous time two-sex stable population model; harmonic mean consistency condition; ergodicity; two-sex fertility; growth rate; sex composition; explicit algebraic solution
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DOI

##### References:

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