Treatment of Polio Delayed Epidemic Model via Computer Simulations

Naveed, Muhammad; Băleanu, Dumitru; Raza, Ali; Rafiq, Muhammad; Soori, Atif Hassan

doi:10.32604/cmc.2022.020112

Cited by 6 publications

(4 citation statements)

References 17 publications

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“…Our review identified nine other studies that presented DEB models of poliovirus transmission for theoretical populations using different numerical simulation methods [ 94 , 95 , 96 , 97 , 98 , 99 , 100 , 101 , 102 ].…”

Section: Resultsmentioning

confidence: 99%

“…The bottom portion of Table 2 shows the geographic scope covered by 45 studies that included poliovirus transmission modeling [ 7 , 9 , 10 , 11 , 12 , 14 , 15 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 25 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 67 , 79 , 80 , 81 , 87 , 88 , 89 , 94 , 95 , 96 , 97 , 98 , 99 , 100 , 101 , 102 ]. Not surprisingly, two groups published studies on Pakistan, Afghanistan and Nigeria, which continue to represent critical geographies for polio eradication.…”

Section: Resultsmentioning

confidence: 99%

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Review of Poliovirus Transmission and Economic Modeling to Support Global Polio Eradication: 2020–2024

Thompson,

Badizadegan

2024

Pathogens

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Continued investment in the development and application of mathematical models of poliovirus transmission, economics, and risks leads to their use in support of polio endgame strategy development and risk management policies. This study complements an earlier review covering the period 2000–2019 and discusses the evolution of studies published since 2020 by modeling groups supported by the Global Polio Eradication Initiative (GPEI) partners and others. We systematically review modeling papers published in English in peer-reviewed journals from 2020–2024.25 that focus on poliovirus transmission and health economic analyses. In spite of the long-anticipated end of poliovirus transmission and the GPEI sunset, which would lead to the end of its support for modeling, we find that the number of modeling groups supported by GPEI partners doubled and the rate of their publications increased. Modeling continued to play a role in supporting GPEI and national/regional policies, but changes in polio eradication governance, decentralized management and decision-making, and increased heterogeneity in modeling approaches and findings decreased the overall impact of modeling results. Meanwhile, the failure of the 2016 globally coordinated cessation of type 2 oral poliovirus vaccine use for preventive immunization and the introduction of new poliovirus vaccines and formulation, increased the complexity and uncertainty of poliovirus transmission and economic models and policy recommendations during this time.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Review of Poliovirus Transmission and Economic Modeling to Support Global Polio Eradication: 2020–2024

Thompson,

Badizadegan

2024

Pathogens

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“…Numerical techniques with spatio temporal analysis of models are discussed [24,25]. In [26][27][28][29][30][31][32][33][34][35][36], researchers have recently focused on computer simulations of the epidemic model with various delay tactics. The following work studied the related models [37,38].…”

Section: Introductionmentioning

confidence: 99%

Bio-Inspired Modelling of Disease Through Delayed Strategies

Nasir¹,

Băleanu²,

Raza³

et al. 2022

Computers, Materials &Amp; Continua

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In 2020, the reported cases were 0.12 million in the six regions to the official report of the World Health Organization (WHO). For most children infected with leprosy, 0.008629 million cases were detected under fifteen. The total infected ratio of the children population is approximately 4.4 million. Due to the COVID-19 pandemic, the awareness programs implementation has been disturbed. Leprosy disease still has a threat and puts people in danger. Nonlinear delayed modeling is critical in various allied sciences, including computational biology, computational chemistry, computational physics, and computational economics, to name a few. The time delay effect in treating leprosy delayed epidemic model is investigated. The whole population is divided into four groups: those who are susceptible, those who have been exposed, those who have been infected, and those who have been vaccinated. The local and global stability of well-known conclusions like the Routh Hurwitz criterion and the Lyapunov function has been proven. The parameters' sensitivity is also examined. The analytical analysis is supported by computer results that are presented in a variety of ways. The proposed approach in this paper preserves equilibrium points and their stabilities, the existence and uniqueness of solutions, and the computational ease of implementation.

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“…Jesus [17] described the modern history from epidemics to the eradication of poliomyelitis. The deterministic models are investigated using delay techniques as discussed in [18,19]. Hussain et al [20] investigated the dynamics of pine wilt disease using the concept of sensitivity analysis.…”

Section: Introductionmentioning

confidence: 99%

Bio-Inspired Computational Methods for the Polio Virus Epidemic Model

Alrawajeh¹,

Allehiany²,

Raza³

et al. 2022

Computers, Materials &Amp; Continua

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In 2021, most of the developing countries are fighting polio, and parents are concerned with the disabling of their children. Poliovirus transmits from person to person, which can infect the spinal cord, and paralyzes the parts of the body within a matter of hours. According to the World Health Organization (WHO), 18 million currently healthy people could have been paralyzed by the virus during 1988-2020. Almost all countries but Pakistan, Afghanistan, and a few more have been declared polio-free. The mathematical modeling of poliovirus is studied in the population by categorizing it as susceptible individuals (S), exposed individuals (E), infected individuals (I), and recovered individuals (R). In this study, we study the fundamental properties such as positivity and boundedness of the model. We also rigorously study the model's stability and equilibria with or without poliovirus. For numerical study, we design the Euler, Runge-Kutta, and nonstandard finite difference method. However, the standard techniques are time-dependent and fail to present the results for an extended period. The nonstandard finite difference method works well to study disease dynamics for a long time without any constraints. Finally, the results of different methods are compared to prove their effectiveness.

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Treatment of Polio Delayed Epidemic Model via Computer Simulations

Cited by 6 publications

References 17 publications

Review of Poliovirus Transmission and Economic Modeling to Support Global Polio Eradication: 2020–2024

Review of Poliovirus Transmission and Economic Modeling to Support Global Polio Eradication: 2020–2024

Bio-Inspired Modelling of Disease Through Delayed Strategies

Bio-Inspired Computational Methods for the Polio Virus Epidemic Model

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