ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)
|Applied Mathematics and Numerical Methods
|03 December 2020
On a model for population with age structure
University of Craiova, Department of Applied Mathematics Al. I. Cuza 13, Craiova 200585, Dolj, Romania
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In this paper we study a linear continuous model describing age structure into a dynamics of one sex population, related with the McKendrick model. McKendrick assumes that the female population can be described by a function of two variables, age and time. Using the method of characteristics and Laplace transform, it is possible to ﬁnd the function representing the number of births in unit time t and the total population size in some particular cases. In the content of some works referring to the behavior of age-structure one sex population is presented the complete model of the Lotka-McKendrick equation given in the system (5) for simple cases. The genesis model is a simple one that works with the Dirac distribution and it is presented in . When the birth modulus is given by the relation (9), we determine the diﬀerential-diﬀerence equation for the function B(t) which represents the number of births in unit time, given in (3).
Key words: Dynamical systems / Population dynamics / Diﬀerential-diﬀerence equation / Laplace transform
© The Authors, published by EDP Sciences, 2020
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