Allergy due to toxic pollutants present in the environment has become a major public health threat affecting the lives of more than one billion people worldwide.Its prevalence and impact are on the rise due to urbaniz...Allergy due to toxic pollutants present in the environment has become a major public health threat affecting the lives of more than one billion people worldwide.Its prevalence and impact are on the rise due to urbanization and growing chemical industries,on the other hand emerging toxic allergens heavily impact the budgets of public health systems.In the current work,the dynamical model of allergy due to pollution is constructed and studied.Moreover,the basic reproduction number is formulated to calculate the threshold value of allergic diseases.The model is stabilized locally and globally,besides the conditions that emerged from stability theory are used to study the effects of various parameters.Z-type control mechanism has been used to optimize the stability of the model.Numerical simulations validate,that chaotic oscillated compartments are stabilized under the effect of Z-control which shows that allergic diseases due to the polluted environment can be controlled.展开更多
At the end of 2019,the novel coronavirus(COVID-19)outbreak was identified in Wuhan city of China.Because of its profoundly infectious nature,it was converted into a pandemic in a very short period.Globally,6,291,764 C...At the end of 2019,the novel coronavirus(COVID-19)outbreak was identified in Wuhan city of China.Because of its profoundly infectious nature,it was converted into a pandemic in a very short period.Globally,6,291,764 COVID-19 confirmed cases,and a total of 374,359 deaths are reported as of 1st June 2020;nevertheless,the circumstances become more and more critical over time.Controlling this global pandemic has necessitated ex-tensive strategies putting into practice.Based on the intensity of the epidemic,the model discriminates area into three different types of zones,and this distinction is crucial to construct various effective strategies for all three types of zones separately.The threshold value of the COVID-19 based on the data from zone-wise distribution of Indian districts from 15th April to 3rd May 2020 is calculated.Furthermore,the model is modified in a multi-group model to analyse the global transmission of COVID-19.Optimal control theory is applied to the model.Five control strategies are included based on the level of intensity of COVID-19.展开更多
基金thankful to DST-FIST file#MSI-097 for technical support to the Department of Mathematics,Gujarat University.Second author(AHS)is funded by a Junior Research Fellowship from the Council of Scientific&Industrial Research(file no.-09/070(0061)/2018-EMR-I).Fourth author(ENJ)is funded by UGC granted National Fellowship for Other Backward Classes(NFO-2018-19-OBC-GUJ-71790).
文摘Allergy due to toxic pollutants present in the environment has become a major public health threat affecting the lives of more than one billion people worldwide.Its prevalence and impact are on the rise due to urbanization and growing chemical industries,on the other hand emerging toxic allergens heavily impact the budgets of public health systems.In the current work,the dynamical model of allergy due to pollution is constructed and studied.Moreover,the basic reproduction number is formulated to calculate the threshold value of allergic diseases.The model is stabilized locally and globally,besides the conditions that emerged from stability theory are used to study the effects of various parameters.Z-type control mechanism has been used to optimize the stability of the model.Numerical simulations validate,that chaotic oscillated compartments are stabilized under the effect of Z-control which shows that allergic diseases due to the polluted environment can be controlled.
基金Second author(AHS)is funded by a Junior Research Fellowship from the Coun-cil of Scientific&Industrial Research(file no.-09/070(0061)/2019-EMR-I)Third author(ENJ)is funded by UGC granted National Fellow-ship for Other Backward Classes(NFO-2018-19-OBC-GUJ-71790).
文摘At the end of 2019,the novel coronavirus(COVID-19)outbreak was identified in Wuhan city of China.Because of its profoundly infectious nature,it was converted into a pandemic in a very short period.Globally,6,291,764 COVID-19 confirmed cases,and a total of 374,359 deaths are reported as of 1st June 2020;nevertheless,the circumstances become more and more critical over time.Controlling this global pandemic has necessitated ex-tensive strategies putting into practice.Based on the intensity of the epidemic,the model discriminates area into three different types of zones,and this distinction is crucial to construct various effective strategies for all three types of zones separately.The threshold value of the COVID-19 based on the data from zone-wise distribution of Indian districts from 15th April to 3rd May 2020 is calculated.Furthermore,the model is modified in a multi-group model to analyse the global transmission of COVID-19.Optimal control theory is applied to the model.Five control strategies are included based on the level of intensity of COVID-19.
