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您的检索式：作者名="DIN Anwarud"
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| 1 | Energy Cost and Mean Dwell Times for the Activity of Promoter with Complex Structure显示文摘Regulatory molecules present on the core promoter of a gene interact often in a dynamic,highly combinatorial and possibly energy-dependent manner, leading to complex promoter structure and even complex global dynamics. The authors analyze dynamics of an arbitrarily complex promoter from the view of thermodynamics combined with statistic physics. First, the authors formulize transcription factors-mediated promoter kinetics in terms of energy. Then, the authors analyze energetic cost in several representative cases of promoter structure, deriving useful analytical results. Third, the authors derive analytical expressions for mean dwell times of the promoter activity states, experimentally measurable quantities related to the energy cost of promoter dynamics. The overall framework lays a theoretical foundation for analysis of complex promoter kinetics and gene expression dynamics. | LI Qingqing DIN Anwarud ZHOU Tianshou | 2019 | Journal of Systems Science & Complexity2019，32，2： | 1 |
| 2 | Stochastic optimal control for norovirus transmission dynamics by contaminated food and water显示文摘Norovirus is one of the most common causes of viral gastroenteritis in the world,causing significant morbidity,deaths,and medical costs.In this work,we look at stochastic modelling methodologies for norovirus transmission by water,human to human transmission and food.To begin,the proposed stochastic model is shown to have a single global positive solution.Second,we demonstrate adequate criteria for the existence of a unique ergodic stationary distribution R0 s>1 by developing a Lyapunov function.Thirdly,we find sufficient criteria Rs<1 for disease extinction.Finally,two simulation examples are used to exemplify the analytical results.We employed optimal control theory and examined stochastic control problems to regulate the spread of the disease using some external measures.Additional graphical solutions have been produced to further verify the acquired analytical results.This research could give a solid theoretical foundation for understanding chronic communicable diseases around the world.Our approach also focuses on offering a way of generating Lyapunov functions that can be utilized to investigate the stationary distribution of epidemic models with nonlinear stochastic disturbances. | Anwarud Din 黎永锦 | 2022 | Chinese Physics B2022，31，2： | 1 |
| 3 | The Complex Dynamics of Hepatitis B Infected Individuals with Optimal Control显示文摘This paper proposes various stages of the hepatitis B virus(HBV)besides its transmissibility and nonlinear incidence rate to develop an epidemic model.The authors plan the model,and then prove some basic results for the well-posedness in term of boundedness and positivity.Moreover,the authors find the threshold parameter R0,called the basic/effective reproductive number and carry out local sensitive analysis.Furthermore,the authors examine stability and hence condition for stability in terms of R0.By using sensitivity analysis,the authors formulate a control problem in order to eradicate HBV from the population and proved that the control problem actually exists.The complete characterization of the optimum system was achieved by using the 4th-order Runge-Kutta procedure. | DIN Anwarud LI Yongjin SHAH Murad Ali | 2021 | Journal of Systems Science & Complexity2021，34，4： | 0 |
| 4 | A NOVEL STOCHASTIC HEPATITIS B VIRUS EPIDEMIC MODEL WITH SECOND-ORDER MULTIPLICATIVE α-STABLE NOISE AND REAL DATA显示文摘This work presents an advanced and detailed analysis of the mechanisms of hepatitis B virus(HBV)propagation in an environment characterized by variability and stochas-ticity.Based on some biological features of the virus and the assumptions,the corresponding deterministic model is formulated,which takes into consideration the effect of vaccination.This deterministic model is extended to a stochastic framework by considering a new form of disturbance which makes it possible to simulate strong and significant fluctuations.The long-term behaviors of the virus are predicted by using stochastic differential equations with second-order multiplicative α-stable jumps.By developing the assumptions and employing the novel theoretical tools,the threshold parameter responsible for ergodicity(persistence)and extinction is provided.The theoretical results of the current study are validated by numerical simulations and parameters estimation is also performed.Moreover,we obtain the following new interesting findings:(a)in each class,the average time depends on the value ofα;(b)the second-order noise has an inverse effect on the spread of the virus;(c)the shapes of population densities at stationary level quickly changes at certain values of α.The last three conclusions can provide a solid research base for further investigation in the field of biological and ecological modeling. | Anwarud DIN Yassine SABBAR 吴鹏 | 2024 | Acta Mathematica Scientia2024，44，2： | 0 |
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