Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator  

作　　者：Pushpendra Kumar Vedat Suat Erturk Abdullahi Yusuf Tukur Abdulkadir Sulaiman 

机构地区：[1]Department of Mathematics and Statistics School of Basic and Applied Sciences,Central University of Punjab Bathinda,Punjab 151001,India [2]Department of Mathematics,Ondokuz Mayis University Atakum 55200,Samsun,Turkey [3]Department of Computer Engineering Biruni University Istanbul,Turkey [4]Department of Mathematics,Science Faculty Federal University Dutse,Jigawa 7156,Nigeria

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2021年第6期129-149,共21页建模、仿真和科学计算国际期刊（英文）

摘　　要：In some of the previous decades, we have observed that mathematical modeling hasbecome one of the most interesting research fields and has attracted many researchers.In this regard, thousands of researchers have proposed different varieties of mathematicalmodels to study the dynamics of a number of real-world problems. This research workis framed to analyzing the structure of the well-known Lassa hemorrhagic epidemic;adangerous epidemic for pregnant women, via new generalized Caputo type nonintegerorder derivative with the help of a modified Predictor–Corrector scheme. Lassa hemorrhagic disease is an epidemical and biocidal fever, whose negative impacts were initiallyrecognized in the countries of Africa. This virus has killed many pregnant women ascompared to the Ebola epidemic. It was noticed that Lassa virus was isolated in Verocell cultures from a blood pattern, and after 12 days it was ejective, after the climb ofthe sickness. In this research study, necessary theorems and lemmas are reminded toprove the existence of a unique solution and stability of given fractional approximationscheme. All necessary results are reminded to confirm the effectiveness of the proposedapproximation algorithm by graphical observations for various fractional-order values.In our practical calculations, we plotted the graphs for two different values of naturaldeath rate along with various values of given fractional-order operator. Our major target is to show the importance of the proposed modified version of the Predictor–Correctoralgorithm in epidemic studies by exploring the given Lassa hemorrhagic fever dynamics.

关 键 词：Lassa hemorrhagic fever epidemic mathematical model new generalized Caputo fractional derivatives predictor–corrector algorithm 

分 类 号：O17[理学—数学]