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Spread and control of COVID-19:A mathematical model

International Journal of Modeling, Simulation, and Scientific Computing 2022年第3期13卷 121-148页

作者： O.P.Misra omprakash singh sisodiya School of Mathematics and Allied Sciences Jiwaji University Gwalior 474011Madhya PradeshIndia

A mathematical model is proposed in this paper to study the transmission and control of *** mathematical model is formulated using system of nonlinear ordinary differential *** model includes disease-related parameters such as contact rate,disease-induced death rates,immigration rate and transition rates along with parameters for control measures such as implementation of social distancing practices,isolation and quarantine *** the stability analysis of the model,it is shown that if the social distancing is practiced by the large number of susceptible population,then the disease will not spread,and it may eventually die ***,it is derived from the analysis of the model that if most of the infected populations are isolated or quarantined,then the spread of the disease can be eventually ***,from the analysis of the model,it is observed that if there is constant immigration of asymptomatic infected persons,then the disease will continue to spread and will remain *** controlling the disease,two more parameters,that is,vaccination and testing rates,are introduced in the original mathematical model and from the numerical analysis of this model,it has been shown that the control strategy involving vaccination and testing in combination can have synergistic effect for minimizing the COVID-19 infected cases.

关键词： COVID-19 social distancing isolation quarantine immigration mathematical model

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Modeling and analysis of the transmission dynamics of mosquito-borne disease with environmental temperature fluctuation

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International Journal of Modeling, Simulation, and Scientific Computing 2022年第3期13卷 31-73页

作者： O.P.Misra Joydip Dhar omprakash singh sisodiya School of Mathematics and Allied Sciences Jiwaji University Gwalior 474011M.P.India Department of Applied Sciences ABV-Indian Institute of Information Technology and Management Gwalior 474015 M.P.India

Most of the vector-borne diseases show a clear dependence on seasonal variation,including climate *** this paper,we proposed a nonautonomous mathematical model consisting of a periodic system of nonlinear differential *** the proposed model,the realistic functional forms for the different temperature-dependent parameters are *** autonomous system of the proposed model is also *** nontrivial solution of the autonomous model is locally asymptotically stable if R01 and proved that endemic solution is linearly stable when R0>*** nonautonomous model is shown to have a nontrivial disease-free periodic state,which is globally asymptotically stable whenever temperature-dependent reproduction number is less than *** is observed that a unique positive endemic periodic solution of the nonautonomous system exists only when a temperature-dependent reproduction number greater than unity,which makes for the persistence of the *** simulation has been carried out to support the analytical results and shows the effects of temperature variability in the life span of mosquitoes as well as the persistence of the disease.

关键词： Mosquito-borne disease seasonality temperature-dependent reproduction number periodic steady states

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Synthesis and antibacterial evaluation of 2-substituted-4,5-diphenyl-N-alkyl imidazole derivatives

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Asian Pacific Journal of Tropical Medicine 2010年第6期3卷 471-474页

作者： Abhishek K Jain V Ravichandran Madhvi sisodiya RK Agrawal Pharmaceutical Chemistry Research Laboratory Department of Pharmaceutical SciencesDr.Hari Singh Gour UniversitySagar(M.P)-470 003India Faculty of Pharmacy AIMST UniversitySemeling-08100KedahMalaysia Pharmaceutical Chemistry Research Laboratory Department of Pharmaceutical SciencesDr.Hari Singh Gour UniversitySagar(M.P)-470003India

Objective:To synthesis 2-substituted-4,5-diphenyl-N- alkyl imidazole derivatives,and evaluate their antibacterial ***:A mixture of benzil（10 mmol） and ammonium acetate（0.1 mol）（immediately fused） in glacial acetic acid（25 mL） was stirred at 80-100℃for 1 h under nitrogen atmosphere（to prevent incorporation of any atmospheric impurities and moisture）. Substituted aldehydes（10 mmol） in glacial acetic acid（5 mL） was added drop-wise over a period of 15-20 min at the same temperature and stirred for another 4 h,the progress of the reaction was monitored by TLC test using ethyl acetate as *** newly synthesized compounds were characterized by IR,1HNMR,13CNMR and by mass ***:All the synthesized compounds were confirmed by spectroscopical techniques and evaluated for antimicrobial activity against Staphylococcus aureus（***）,Bacilus subtilus（***）,and Escheria coli （***）.These compounds showed antibacterial activity（zone of inhibition） against *** ranged from 3 mm to 9 mmin diameter,***,4 -8 mm,and *** 5 -12 *** of 2a-2e, only 2a and 2b showed some sort of activity but none of them had considerable activity compared with that of the ***:All the synthesized compounds show moderate activity against the tested bacteria ***,***,and ***,further structural modification is necessary to improve the antibacterial action of 2-substituted-4,5-diphenyl-N-alkyl imidazole derivatives.

关键词： Antibacterial activity Imidazole derivatives N-alkyl imidazole

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