Numerical Analysis of Stochastic Vector Borne Plant Disease Model

Abodayeh, Kamaleldin; Raza, Ali; Arif, Muhammad; Rafiq, Muhammad; Bibi, Mairaj; Fayyaz, Rabia

doi:10.32604/cmc.2020.08838

Cited by 13 publications

(12 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Many mathematical models are studied with different techniques, as shown in previous works [23][24][25][26][27]. Well-known mathematical models can be investigated with the help of efficient techniques [28][29][30][31][32][33][34][35][36][37][38][39]. The rest of the paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Pneumonia Model via Efficient Computing Techniques

Abodayeh¹,

Raza²,

Rafiq³

et al. 2022

Computers, Materials &Amp; Continua

Self Cite

View full text Add to dashboard Cite

Pneumonia is a highly transmissible disease in children. According to the World Health Organization (WHO), the most affected regions include south Asia and sub-Saharan Africa. Worldwide, 15% of pediatric deaths can be attributed to pneumonia. Computing techniques have a significant role in science, engineering, and many other fields. In this study, we focused on the efficiency of numerical techniques via computer programs. We studied the dynamics of the pneumonia-like infections of epidemic models using numerical techniques. We discuss two types of analysis: dynamical and numerical. The dynamical analysis included positivity, boundedness, local stability, reproduction number, and equilibria of the model. We also discuss well-known computing techniques including Euler, Runge Kutta, and non-standard finite difference (NSFD) for the model. The non-standard finite difference (NSFD) technique shows convergence to the true equilibrium points of the model for any time step size. However, Euler and Runge Kutta do not work well over large time intervals. Computing techniques are the suitable tool for crosschecking the theoretical analysis of the model.

show abstract

Section: Introductionmentioning

confidence: 99%

Analysis of Pneumonia Model via Efficient Computing Techniques

Abodayeh¹,

Raza²,

Rafiq³

et al. 2022

Computers, Materials &Amp; Continua

Self Cite

View full text Add to dashboard Cite

show abstract

“…Radosavljevic et al suggested the curing techniques for the bioterrorist attack of anthrax [28]. Mathematical techniques were studied to analyze the transmission of infectious diseases [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. In this paper, we study the dynamics of anthrax disease via computational methods.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Anthrax Disease via Efficient Computing Techniques

Raza¹,

Băleanu²,

Yousaf³

et al. 2022

Intelligent Automation &Amp; Soft Computing

Self Cite

View full text Add to dashboard Cite

“…The well-known results with different techniques are studied in [22,23]. For the best presentation, more work on the epidemiology and efficiency of the techniques are studied in [24][25][26][27][28][29][30][31][32]. In this paper, we study the dynamics of pine wilt disease via algorithms.…”

Section: Introductionmentioning

confidence: 99%

Examination of Pine Wilt Epidemic Model through Efficient Algorithm

Raza¹,

Mahmoud²,

Al‐Bugami³

et al. 2022

Computers, Materials &Amp; Continua

Self Cite

View full text Add to dashboard Cite

Pine wilt is a dramatic disease that kills infected trees within a few weeks to a few months. The cause is the pathogen Pinewood Nematode. Most plant-parasitic nematodes are attached to plant roots, but pinewood nematodes are found in the tops of trees. Nematodes kill the tree by feeding the cells around the resin ducts. The modeling of a pine wilt disease is based on six compartments, including three for plants (susceptible trees, exposed trees, and infected trees) and the other for the beetles (susceptible beetles, exposed beetles, and infected beetles). The deterministic modeling, along with subpopulations, is based on Law of mass action. The stability of the model along with equilibria is studied rigorously. The authentication of analytical results is examined through well-known computer methods like Non-standard finite difference (NSFD) and the model's feasible properties (positivity, boundedness, and dynamical consistency). In the end, comparison analysis shows the effectiveness of the NSFD algorithm.

show abstract

Numerical Analysis of Stochastic Vector Borne Plant Disease Model

Cited by 13 publications

References 0 publications

Analysis of Pneumonia Model via Efficient Computing Techniques

Analysis of Pneumonia Model via Efficient Computing Techniques

Modeling of Anthrax Disease via Efficient Computing Techniques

Examination of Pine Wilt Epidemic Model through Efficient Algorithm

Contact Info

Product

Resources

About