A mathematical model of the impact of agriculture and industrial development on Egypt's sustainable development

Mahmoud M. El-Borai; Wagdy G. El-sayed; Zeinab M. Hasanyn

doi:10.1117/12.2675626

10 April 2023 A mathematical model of the impact of agriculture and industrial development on Egypt's sustainable development

Mahmoud M. El-Borai, Wagdy G. El-sayed, Zeinab M. Hasanyn

Author Affiliations +

Proceedings Volume 12616, International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022); 126160Q (2023) https://doi.org/10.1117/12.2675626
Event: International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022), 2022, Istanbul, Turkey

Abstract

We study in this paper the function of development, which consists of 3 dimensions: agriculture, industry, and Human due to their strong interrelationship with each other. We will study this function in Caputo fractional non-linear model (GHD), which describe the stability relation between three dimensions. We will get the existence and uniqueness of solution and used the Banach-fixed point theorem to prove the system (GHD) has a unique fixed point and satisfies the contraction mapping. And then we get the existence equilibrium points and the stability of these points and we find the equilibrium point of (G-H) plane is locally asymptotically if R₀ < 1 , i.e. The stability satisfied with the agriculture wealth and Human population, and when the three dimensions get together the system will be asymptotically stable.

Citation Download Citation

Mahmoud M. El-Borai, Wagdy G. El-sayed, and Zeinab M. Hasanyn "A mathematical model of the impact of agriculture and industrial development on Egypt's sustainable development", Proc. SPIE 12616, International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022), 126160Q (10 April 2023); https://doi.org/10.1117/12.2675626

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