TY  - JOUR
AU  - Evgueni Gordienko
AU  - Adolfo Hernández-Iglesias
PY  - 2025
DA  - 2025/08/29
TI  - Evaluation of the Accuracy of Approximations of the Differential Growth Model Using the Logistic Model
JO  - Japan Journal of Research
VL  - 6
IS  - 10
AB  - We consider a general model of population growth given by a differential equation. Assuming that the
right-hand side of the equation is unknown, we approximate the model under consideration using the
classical logistic model. We establish two inequalities that evaluate the accuracy of the approximation:
(a) Upper bounds for the uniform proximity of trajectories in bounded time intervals.
(b) An upper bound for the difference between asymptotically stable states.
The results are new and original. To obtain them, we used the contractions technique, well-known in the
theory of differential equations.
SN  - 2690-8077
UR  - https://dx.doi.org/10.33425/2690-8077.1207
DO  - 10.33425/2690-8077.1207