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Your search keyword '"Baskonus, Haci Mehmet"' showing total 2 results
2 results on '"Baskonus, Haci Mehmet"'

1. On the equilibrium point and Hopf-Bifurcation analysis of GDP-national debt dynamics under the delayed external investment: A new DDE model.

Author

Chen, Qiliang, Kumar, Pankaj, Dipesh, and Baskonus, Haci Mehmet

Subjects
NONLINEAR differential equations, DELAY differential equations, PUBLIC debts, EXTERNAL debts, DEBT
Abstract

This mathematical model is based on a system of two non-linear delay differential equations representing GDP (Gross Domestic Product) growth and national debt respectively. Growth of GDP is directly proportional to national debt. In the absence of national debt, there could be no or very slow GDP growth. The national debt is heavily dependent on external loans and external investments. These investments act as a catalyst for accelerating the rate of GDP. It is assumed that the external debt is never paid off fully. The availability of external investments is not immediate as per demand but takes some time for the maturation of the deal. The time delay in actual arrival of the foreign investment and its effect on GDP-National debt dynamics is the main focus of this study. This effect is studied using a delay parameter τ. The non-zero equilibrium of the system is calculated, and the stability analysis is performed on it. Hopf bifurcation is observed for a critical value of the delay parameter. Numerical simulation is performed using MATLAB code. [ABSTRACT FROM AUTHOR]

Published
2024
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2. Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method.

Author

Ilhan, Esin, Veeresha, P., and Baskonus, Haci Mehmet

Subjects
*ATMOSPHERIC circulation, *ATMOSPHERIC models, *ATMOSPHERIC carbon dioxide, *GAS dynamics, *NONLINEAR differential equations, *MATHEMATICAL models
Abstract

In the present work, we find the series solution for the system of fractional differential equations describing the atmospheric dynamics of carbon dioxide (CO 2) gas using the q - homotopy analysis transform method (q -HATM). The analyzed model consists of a system of three nonlinear differential equations elucidating the dynamics of human population and forest biomass in the atmosphere to the concentration of CO 2 gas. In the current study, we consider Caputo-Fabrizio (CF) fractional operator and the considered scheme is graceful amalgamations of Laplace transform with q -homotopy analysis technique. To present and validate the effectiveness of the hired algorithm, we examined the considered system in terms of fractional order. The existence and uniqueness are demonstrated by using the fixed-point theory. The accomplished consequences illustrate that the considered scheme is highly methodical and very efficient in analyzing the nature of the system of arbitrary order differential equations in daily life. [ABSTRACT FROM AUTHOR]

Published
2021
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