A mathematical model with the generalized mckendrick–von foerster equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 71-77
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In this paper, we propose a generalization of the mathematical model of a biological process that characterizes the dynamics of the population size, taking into account the change in age x for a fixed time t and changes in the number of individuals in different periods of time for a fixed x. A nonlocal boundary value problem with an integral condition is considered. The theorem of existence and uniqueness of the problem is proved.
Keywords:
fractional differentiation operator, Rieman-Liouville operator, McKendrick–von Foerster equation.
@article{VKAM_2020_33_4_a5,
author = {F. M. Losanova},
title = {A mathematical model with the generalized mckendrick{\textendash}von foerster equation},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {71--77},
year = {2020},
volume = {33},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a5/}
}
F. M. Losanova. A mathematical model with the generalized mckendrick–von foerster equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 71-77. http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a5/