Closed‐form solutions of an economic growth model of tourism

DOI10.1002/mma.7966zbMath1527.91112OpenAlexW3215981457MaRDI QIDQ6139695

Unnamed Author, Imran Naeem

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7966

zbMATH Keywords

economic growthPontryagin's maximum principlefirst integralpartial Hamiltonianoptimal number of tourist

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Economic growth models (91B62) Qualitative investigation and simulation of ordinary differential equation models (34C60) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Unnamed Item
• Invariance and first integrals of continuous and discrete Hamiltonian equations
• The invariance principle and income-wealth conservation laws. Application of Lie groups and related transformations
• Closed-form solutions for the Lucas-Uzawa model of economic growth via the partial Hamiltonian approach
• A partial Hamiltonian approach for current value Hamiltonian systems
• OPTIMAL ECONOMIC GROWTH:
• Sufficient Conditions for the Optimal Control of Nonlinear Systems
• Demographic shocks and human capital accumulation in the Uzawa--Lucas model
• Hartwick's rule and economic conservation laws

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