Modelling Cultural Hereditary Transmission: Insight Through Optimal Control

Bonyah, E., Ogunlade, S., Purohit, S.D., and Singh, Jagdev (2021) Modelling Cultural Hereditary Transmission: Insight Through Optimal Control. Ecological Complexity, 45. 100890.

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Cultural hereditary transmission is indeed very important for the recognition of human personalities and countries are seeking to integrate them into their school curriculum. A deterministic mathematical model for human behavior transmission is extracted and built into the present study. The fundamental characteristics of the model are well established and the reproduction number is evaluated. The stability analysis indicates that the model is undergoing a backward bifurcation phenomenon. Time dependent control is also introduced into the model and Pontryagin's Maximum is employed to characterise the best strategy to spread cultural heredity. The numerical simulation findings are also provided and indicate that the best approach for improving cultural heritage in a society is to explore all three control methods at the same time.

Item ID: 74918
Item Type: Article (Research - C1)
ISSN: 1476-9840
Copyright Information: © 2020 Elsevier B.V. All rights reserved
Date Deposited: 19 Jun 2022 23:57
FoR Codes: 46 INFORMATION AND COMPUTING SCIENCES > 4602 Artificial intelligence > 460207 Modelling and simulation @ 50%
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490102 Biological mathematics @ 50%
SEO Codes: 20 HEALTH > 2099 Other health > 209999 Other health not elsewhere classified @ 100%
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