Geodesic
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. 
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     author = {F. M. Losanova},
     title = {A mathematical model with the generalized mckendrick--von foerster equation},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {71--77},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a5/}
}
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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/