☆ 4.6 Article

A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics, Applied

Analysis of nonlinear time-fractional Klein-Gordon equation with power law kernel

Sayed Saifullah et al.

Summary: In this study, the nonlinear Klein-Gordon equation with Caputo fractional derivative is investigated. The general solution of the system is derived using the composition of the double Laplace transform with the decomposition method, and it is shown that the obtained solution converges to the exact solution. The validity and accuracy of the proposed method are demonstrated through specific examples, and good agreements are obtained. The results reveal the existence of soliton solutions in the proposed system, and the amplitude of the wave solution increases with deviations in time.

AIMS MATHEMATICS (2022)

添加到收藏夹

Article Mathematics, Applied

Oscillatory and complex behaviour of Caputo-Fabrizio fractional order HIV-1 infection model

Shabir Ahmad et al.

Summary: In this article, the HIV-1 infection mathematical model is generalized using a nonsingular fractional operator. The existence and stability of a unique solution to the model under the suggested operator are addressed using Picard-Lindelof and fixed-point theory. Numerical simulations are provided to study the complex dynamics of the model for different fractional orders.

AIMS MATHEMATICS (2022)

添加到收藏夹

Article Materials Science, Multidisciplinary

Nonlinear equations with global differential and integral operators: Existence, uniqueness with application to epidemiology

Abdon Atangana et al.

Summary: The concept of instantaneous change has been extended to predict more complex real world problems, leading to the development of a more general differential operator and redefining existing local differential operators. Numerical solutions for stochastic equations with new classes of differential operators have been derived and error analysis has been conducted, demonstrating the applicability of these operators in solving real-world problems.

RESULTS IN PHYSICS (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Mathematical analysis of dengue stochastic epidemic model

Anwarud Din et al.

Summary: In this study, a stochastic Markovian dynamics approach was used to model the transmission of dengue fever and the threshold of the disease. The basic stochastic reproduction number R-0(s) was calculated as a threshold for determining the extinction or persistence of the disease. Results showed that R-0(s) can determine the fate of the disease.

RESULTS IN PHYSICS (2021)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

New concept in calculus: Piecewise differential and integral operators

Abdon Atangana et al.

Summary: This paper introduces the concept of piecewise derivative to model the multi-steps behavior of complex world problems, discussing its important properties, proposing numerical schemes for problem-solving, and validating the effectiveness of the suggested concept through illustrative examples.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Investigating of fractional order dengue epidemic model with ABC operator

Faiz Muhammad Khan et al.

Summary: A mosquito-borne viral disease (Dengue) is becoming endemic worldwide, causing severe illness and death in various Asian and Latin American countries. Proper management by researchers and medical professionals is essential. The current research aims to prevent/reduce such deadly diseases by addressing mathematical proofs related to existence and stability, utilizing mathematical modeling techniques. The study establishes existence results for the proposed model using the Atangana-Baleanu derivative in Caputo sense (ABC) with fractional order, and also demonstrates deterministic stability. Finally, a new numerical approximation framework for the ABC fractional derivative is used to conduct numerical simulations of the obtained results.

RESULTS IN PHYSICS (2021)

添加到收藏夹

Article Mathematics, Applied

Dynamics analysis of a delayed virus model with two different transmission methods and treatments

Tongqian Zhang et al.

ADVANCES IN DIFFERENCE EQUATIONS (2020)

添加到收藏夹

Article Engineering, Multidisciplinary

On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative

Kamal Shah et al.

ALEXANDRIA ENGINEERING JOURNAL (2020)

添加到收藏夹

Article Mathematics, Applied

Existence, uniqueness, and stability of fractional hepatitis B epidemic model

Amir Khan et al.

CHAOS (2020)

添加到收藏夹

Article Mathematics, Applied

The dynamics of COVID-19 with quarantined and isolation

Muhammad Altaf Khan et al.

ADVANCES IN DIFFERENCE EQUATIONS (2020)

添加到收藏夹

Article Mathematics, Applied

Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications

Abdon Atangana et al.

ADVANCES IN DIFFERENCE EQUATIONS (2020)

添加到收藏夹

Article Materials Science, Multidisciplinary

On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease

Anwarud Din et al.

RESULTS IN PHYSICS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Dynamics of Ebola Disease in the Framework of Different Fractional Derivatives

Khan Muhammad Altaf et al.

ENTROPY (2019)

添加到收藏夹

Article Mathematics, Applied

A reaction-diffusion-advection model for Aedes aegypti mosquitoes in a time-periodic environment

Mengyun Zhang et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2019)

添加到收藏夹

Article Physics, Multidisciplinary

A new fractional modelling and control strategy for the outbreak of dengue fever

Amin Jajarmi et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2019)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Fractional derivatives with no-index law property: Application to chaos and statistics

Abdon Atangana et al.

CHAOS SOLITONS & FRACTALS (2018)

添加到收藏夹

Article Mathematics

Application of the Caputo-Fabrizio Fractional Derivative without Singular Kernel to Korteweg-de Vries-Bergers Equation

Emile Franc Doungmo Goufo

MATHEMATICAL MODELLING AND ANALYSIS (2016)

添加到收藏夹

Article Mathematics, Applied

A BIOMATHEMATICAL VIEW ON THE FRACTIONAL DYNAMICS OF CELLULOSE DEGRADATION

Emile Franc et al.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2015)

添加到收藏夹

Article Multidisciplinary Sciences

Suitability of European climate for the Asian tiger mosquito Aedes albopictus: recent trends and future scenarios

Cyril Caminade et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2012)

添加到收藏夹

Review Mathematics, Applied

The mathematics of infectious diseases

HW Hethcote

SIAM REVIEW (2000)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.