A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease

Khalsaraei, Mohammad Mehdizadeh; Shokri, Ali; Ramos, Higinio; Heydari, Shahin

doi:10.1016/j.matcom.2020.11.013

Cited by 27 publications

(18 citation statements)

References 21 publications

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“…Thus, our future work will consider these factors and focus on their effects on cholera transmission. In addition to qualitative analyses, tremendous amounts of works on numerical methods have been proposed and developed to deal with various epidemic models [39][40][41], which provide us with more aspects and methods to analyze in relation to this model.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Jiang

2021

Mathematics

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This paper studies the global dynamics of a cholera model incorporating age structures and general infection rates. First, we explore the existence and point dissipativeness of the orbit and analyze the asymptotical smoothness. Then, we perform rigorous mathematical analysis on the existence and local stability of equilibria. Based on the uniform persistence, we further investigate the global behavior of the cholera infection model. The results of theoretical analysis are well confirmed by numerical simulations. This research generalizes some known results and provides deeper insights into the dynamics of cholera propagation.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Jiang

2021

Mathematics

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“…With positivity, we mean that the component-wise non-negativity of the initial vector is preserved in time for the approximated solution. Several NSFD schemes have been constructed in the literature (see, for example, [1,25,29,[39][40][41][42]). □ Proposition 1 (positivity).…”

Section: Lemma 1 (Monotonicity) E New Nsfd Methods Is Monotonementioning

confidence: 99%

Qualitatively Stable Nonstandard Finite Difference Scheme for Numerical Solution of the Nonlinear Black–Scholes Equation

Khalsaraei

Shokri

Mohammadnia

et al. 2021

Journal of Mathematics

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In this paper, we use a numerical method for solving the nonlinear Black–Scholes partial differential equation of the European option under transaction costs, which is based on the nonstandard discretization of the spatial derivatives. The proposed scheme, in addition to the unconditional positivity, is stable, consistent, and monotone. In order to illustrate the efficiency of the new method, numerical results have been performed by four models.

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“…There are many ways to measure distance with ultrasonic waves, such as the resonance method, phase difference method, frequency difference method, and frequency modulation method. Among them [18], the more popular is the pulse-echo method, which is also known as the time method. The basic principle is the ultrasonic probe emits ultrasonic waves, ultrasonic waves reach the surface of the object to be measured after the reflection back, the pulse signal is accepted by the probe, record the required degree of time, the speed of sound in the medium, and the degree of time can be obtained from the sensor and the distance to the target.…”

Section: Optimization Of Sensor and Mathematical Model Data Fusionmentioning

confidence: 99%

Sensor Mathematical Model Data Fusion Biobjective Optimization

Hou

Wei-yun

2022

Journal of Sensors

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Sensors are an important tool to quantify the changes and an important part of the information acquisition system; the performance and accuracy of sensors are more strictly desired. In this paper, a highly sensitive fiber optic sensor for measuring temperature and refractive index is prepared by using femtosecond laser micromachining technology and fiber fusion technology. The multimode fiber is first spliced together with single-mode fiber in a positive pair, and then, the multimode fiber is perforated using a femtosecond laser. The incorporation of data model sensors has led to a rapid increase in the development and application of sensors as well. Based on the design concept and technical approach of the wireless sensor network system, a general development plan of the indoor environmental monitoring system is proposed, including the system architecture and functional definition, wireless communication protocols, and design methods of node applications. The sensor has obvious advantages over traditional electrical sensors; the sensor is resistant to electromagnetic interference, electrical insulation, corrosion resistance, low loss, small size, high accuracy, and other advantages. The upper computer program of the indoor environment monitoring system was developed in a Visual Studio development environment using C# language to implement the monitoring, display, and alarm functions of the indoor environment monitoring system network. The sensor-data model interfusion with each other for mutual integration performs the demonstration of the application.

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A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease

Cited by 27 publications

References 21 publications

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Qualitatively Stable Nonstandard Finite Difference Scheme for Numerical Solution of the Nonlinear Black–Scholes Equation

Sensor Mathematical Model Data Fusion Biobjective Optimization

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