An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women

Goyal, Manish; Baskonus, Hacı Mehmet; Prakash, Amit

doi:10.1140/epjp/i2019-12854-0

Cited by 78 publications

(34 citation statements)

References 20 publications

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“…Others, like Koonin and Cetron, asserted that case isolation, household quarantine, and internal travel restrictions are also necessary for virus control [ 19 ]. Therefore, many mathematical properties of real world problems including fractional or integer order have been introduced to better understanding of deeper properties and to analyze by many researchers [ 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 ].…”

Section: Introductionmentioning

confidence: 99%

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

Gao

Veeresha

Prakasha

et al. 2020

Biology

135

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In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense. With the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition and natural transform methods, numerical results were obtained to better understand the dynamical structures of the physical behavior of 2019-nCoV. Such behaviors observe the general properties of the mathematical model of 2019-nCoV. This mathematical model is composed of data reported from the city of Wuhan, China.

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Section: Introductionmentioning

confidence: 99%

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

Gao

Veeresha

Prakasha

et al. 2020

Biology

135

View full text Add to dashboard Cite

show abstract

“…From medical engineering point of view, mathematical modeling approach is one of the key tool in order to handle these infectious diseases. Mathematical models have been established for different disease in history, for study, we refer [6] , [7] , [8] , [9] . Similarly the mentioned outbreak has been reported in large numbers of articles, reports, monographs, etc, (for detail see [10] , [1] , [2] , [11] , [12] , [13] , [14] , [15] , [16] , [17] ).…”

Section: Introductionmentioning

confidence: 99%

A comparative study of spreading of novel corona virus disease by ussing fractional order modified SEIR model

Alrabaiah¹,

Arfan²,

Shah³

et al. 2021

Alexandria Engineering Journal

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In this research work, a non-linear dynamical modified SEIR model of the recent pandemic, due to Coronavirus-19 disease (COVID-19) for different countries like Malaysia and Pakistan, is considered under nonsingular fractional order derivative. For this model, some qualitative results, existence theory, and numerical solution are studied by using fixed point approach and fractional Adams-Bashforth method. The results are simulated corresponding to some real data of various fractional order by using Matlab. Hence, the suitability of the considered COVID-19 model for the current outbreak in two different countries Malaysia and Pakistan are shown by simulation.

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“…From medical engineering point of view, mathematical modeling approach is one of the key tool in order to handle these infectious diseases. Mathematical models have been established for different disease in history, for study, we refer [6] , [7] , [8] , [9] . Similarly the mentioned outbreak has been reported in large numbers of articles, reports, monographs, etc, (for detail see [1] , [2] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] ).…”

Section: Introductionmentioning

confidence: 99%

Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

Rahman

Arfan

Shah

et al. 2020

Chaos, Solitons & Fractals

106

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This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our case, modeling the recent pandemic due to corona virus (COVID-19). The considered model is analyzed for exactness and uniqueness of solution by using fixed point theory approach. We have also provided the numerical solution of the nonlinear dynamical system with the help of some iterative method applying Caputo as well as Attangana-Baleanu and Caputo fractional type derivative. Also, random COVID-19 model described by a system of random differential equations was presented. At the end we have given some numerical approximation to illustrate the proposed method by applying different fractional values corresponding to uncertainty.

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An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women

Cited by 78 publications

References 20 publications

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

A comparative study of spreading of novel corona virus disease by ussing fractional order modified SEIR model

Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

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