scholarly journals Mathematical modeling, analysis and optimal control of an alcohol drinking model with liver complication

2020 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Alcohol Drinking ◽  
Modeling Analysis ◽  
Liver Complication

Mathematical modeling and optimal control of corruption dynamics

2018 ◽  
Vol 11 (06) ◽  
pp. 1850090 ◽  
Author(s):  
S. Athithan ◽  
Mini Ghosh ◽  
Xue-Zhi Li
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Developing Countries ◽  
Numerical Simulations ◽  
Equilibrium Point ◽  
Present Model ◽  
Control Model ◽  
Asymptotically Stable ◽  
Epidemiological Modeling ◽  
Control Of Corruption

The problem of corruption is of serious concern in all the nations, more so in the developing countries. This paper presents the formulation of a corruption control model and its analysis using the theory of differential equations. We found the equilibria of the model and stability of these equilibria are discussed in detail. The threshold quantity [Formula: see text] which has a similar implication here as in the epidemiological modeling is obtained for the present model. The corruption free equilibrium is found to be stable when [Formula: see text] is less than [Formula: see text] and unstable for [Formula: see text]. The endemic equilibrium which signifies the presence of corrupted individuals in the society exists only when [Formula: see text]. This equilibrium point is locally asymptotically stable whenever it exists. We perform extensive numerical simulations to support the analytical findings. Furthermore, we extend the model to include optimal control and the optimal control profile is obtained to get the maximum control within a stipulated period of time. Our presented results show that the level of corruption in the society can be reduced if corruption control efforts through media/punishments etc. are increased and put in place.

scholarly journals Mathematical modeling and optimal control of the COVID-19 dynamics

2021 ◽  
pp. 105028
Author(s):  
Zhong-Hua Shen ◽  
Yu-Ming Chu ◽  
Muhammad Altaf Khan ◽  
Shabbir Muhammad ◽  
Omar A. Al-Hartomy ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control

Optimal control homotopy perturbation method for cancer model

2019 ◽  
Vol 12 (03) ◽  
pp. 1950027 ◽  
Author(s):  
Malihe Najafi ◽  
Hadi Basirzadeh
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Perturbation Method ◽  
Cancer Immunotherapy ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Cancer Model ◽  
Homotopy Perturbation

In this paper, we introduced the optimal control homotopy perturbation method (OCHPM) by using the homotopy perturbation method (HPM). Every one, by using of the proposed method, can obtain numerical solutions of mathematical modeling for cancer-immunotherapy. In this paper, in order to prove the preciseness and efficiency of the OCHPM method, we compared the obtained numerical solutions with HPM. The results obtained showed that the OCHPM method is powerful to generate the numerical solutions for some therapeutic models.

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