Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network

被引:69
作者
ul Rehman, Attiq [1 ]
Singh, Ram [1 ]
Agarwal, Praveen [2 ,3 ,4 ]
机构
[1] BGSB Univ, Dept Math Sci, Rajouri 185234, J&K, India
[2] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India
[3] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates
[4] Int Ctr Basic & Appl Sci, Jaipur, Rajasthan, India
关键词
Dengue; Covid-19; Stability analysis; Optimization; Predictor-corrector scheme; INTEGRAL TRANSFORM;
D O I
10.1016/j.chaos.2021.111008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, four new strains of SARS-COV-2 were reported in different countries which are mutants and considered as 70% more dangerous than the existing covid-19 virus. In this paper, hybrid mathematical models of new strains and co-infection in Caputo, Caputo-Fabrizio, and Atangana-Baleanu are presented. The idea behind this co-infection modeling is that, as per medical reports, both dengue and covid-19 have similar symptoms at the early stages. Our aim is to evaluate and predict the transmission dynamics of both deadly viruses. The qualitative study via stability analysis is discussed at equilibria and reproduction number R-0 is computed. For the numerical purpose, Adams-Bashforth-Moulton and Newton methods are employed to obtain the approximate solutions of the proposed model. Sensitivity analysis is carried out to assessed the effects of various biological parameters and rates of transmission on the dynamics of both viruses. We also compared our results with some reported data against infected, recovered, and death cases. (C) 2021 Elsevier Ltd. All rights reserved.
引用
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页数:19
相关论文
共 35 条
[1]   On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative [J].
Abdo, Mohammed S. ;
Shah, Kamal ;
Wahash, Hanan A. ;
Panchal, Satish K. .
CHAOS SOLITONS & FRACTALS, 2020, 135
[2]   Numerical solution of hybrid mathematical model of dengue transmission with relapse and memory via Adam-Bashforth-Moulton predictor-corrector scheme [J].
Agarwal, Praveen ;
Singh, Ram ;
ul Rehman, Attiq .
CHAOS SOLITONS & FRACTALS, 2021, 143
[3]   Modelling of transmission dynamics of Nipah virus (Niv): A fractional order Approach [J].
Agarwal, Praveen ;
Singh, Ram .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 547
[4]   On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen systems [J].
Ahmed, E. ;
El-Sayed, A. M. A. ;
El-Saka, Hala A. A. .
PHYSICS LETTERS A, 2006, 358 (01) :1-4
[5]   Analysis of Caputo fractional-order model for COVID-19 with lockdown [J].
Ahmed, Idris ;
Baba, Isa Abdullahi ;
Yusuf, Abdullahi ;
Kumam, Poom ;
Kumam, Wiyada .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[6]   New applications related to Covid-19 [J].
Akgul, Ali ;
Ahmed, Nauman ;
Raza, Ali ;
Iqbal, Zafar ;
Rafiq, Muhammad ;
Baleanu, Dumitru ;
Rehman, Muhammad Aziz-ur .
RESULTS IN PHYSICS, 2021, 20
[7]   On Fractional Order Dengue Epidemic Model [J].
Al-Sulami, Hamed ;
El-Shahed, Moustafa ;
Nieto, Juan J. ;
Shammakh, Wafa .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[8]   Dynamic Epidemiological Models for Dengue Transmission: A Systematic Review of Structural Approaches [J].
Andraud, Mathieu ;
Hens, Niel ;
Marais, Christiaan ;
Beutels, Philippe .
PLOS ONE, 2012, 7 (11)
[9]   NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].
Atangana, Abdon ;
Baleanu, Dumitru .
THERMAL SCIENCE, 2016, 20 (02) :763-769
[10]   Optimal Control Model for the Transmission of Novel COVID-19 [J].
Baba, Isa Abdullahi ;
Nasidi, Bashir Ahmad ;
Baleanu, Dumitru .
CMC-COMPUTERS MATERIALS & CONTINUA, 2021, 66 (03) :3089-3106