☆ 4.7 Article

Deterministic and fractional modeling of a computer virus propagation

RESULTS IN PHYSICS (2022)

Related references

Note: Only part of the references are listed.

Article Mathematics, Applied

Analysis of fractional COVID-19 epidemic model under Caputo operator

Rahat Zarin et al.

Summary: This article analyzes the fractional COVID-19 epidemic model with a convex incidence rate using the noninteger Caputo derivative. The existence and uniqueness of solutions, as well as local and global stability, are studied. Sensitivity analysis and numerical simulations are also conducted to investigate the impact of parameter changes on the system's dynamical behavior.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2023)

Add to Collection

Article Computer Science, Interdisciplinary Applications

Fractional dynamics and stability analysis of COVID-19 pandemic model under the harmonic mean type incidence rate

Amir Khan et al.

Summary: In this research, a COVID-19 model is formulated with a more realistic harmonic mean type incidence rate. The basic reproduction number, equilibrium points, and stability of the model are established under certain conditions. Sensitivity analysis is conducted to identify influential parameters on the basic reproduction number.

COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING (2022)

Add to Collection

Article Mathematics, Applied

Stability analysis of five-grade Leishmania epidemic model with harmonic mean-type incidence rate

Karim Khan et al.

Summary: This paper discusses the transmission of Anthroponotic Cutaneous Leishmania and develops a mathematical model to describe the process. The local and global stability of the model is studied under the condition R0<1 in the disease-free case. At the endemic equilibrium point, local and global stability are shown to be held under specific conditions and R0>1, with the global stability established using a geometrical approach.

ADVANCES IN DIFFERENCE EQUATIONS (2021)

Add to Collection

Article Mathematics, Applied

Analysis of Atangana-Baleanu fractional-order SEAIR epidemic model with optimal control

Chernet Tuge Deressa et al.

Summary: The study on a SEAIR epidemic model with Atangana-Baleanu fractional-order derivative showed that reducing the fractional order can slow down the spread of the epidemic.

ADVANCES IN DIFFERENCE EQUATIONS (2021)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Dynamics of five grade leishmania epidemic model using fractional operator with Mittag-Leffler kernel

Rahat Zarin et al.

Summary: This article discusses the transmission of Anthroponotic Cutaneous Leishmania and develops a mathematical model to analyze its qualitative behavior. The threshold number R-0 of the model is derived using the next generation method, and sensitivity analysis with other parameters is also considered. Several graphs of important parameters are discussed in the article.

CHAOS SOLITONS & FRACTALS (2021)

Add to Collection

Article Mathematics, Applied

Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function

Amir Khan et al.

Summary: This paper investigates a fractional COVID-19 epidemic model with a convex incidence rate, establishing equilibrium points, basic reproduction number, and local stability to understand virus transmission patterns. Fractional numerical simulations are conducted using the Toufik-Atangana scheme, with optimal control analysis performed to minimize infection risk.

ADVANCES IN DIFFERENCE EQUATIONS (2021)

Add to Collection

Article Physics, Multidisciplinary

A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems

Amin Jajarmi et al.

FRONTIERS IN PHYSICS (2020)

Add to Collection

Article Physics, Multidisciplinary

Stability analysis of leishmania epidemic model with harmonic mean type incidence rate

Amir Khan et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2020)

Add to Collection

Article Engineering, Multidisciplinary

Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus

Dumitru Baleanu et al.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES (2020)

Add to Collection

Article Mathematics, Applied

A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

D. Baleanu et al.

CHAOS (2019)

Add to Collection

Article Physics, Multidisciplinary

New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models

Mekkaoui Toufik et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2017)

Add to Collection

Article Mathematics

STABILITY ANALYSIS OF A COMPUTER VIRUS PROPAGATION MODEL WITH ANTIDOTE IN VULNERABLE SYSTEM

Nguyen Huu Khanh et al.

ACTA MATHEMATICA SCIENTIA (2016)

Add to Collection

Article Thermodynamics

NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model

Abdon Atangana et al.

THERMAL SCIENCE (2016)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Stability analysis of a computer virus model in latent period

Zhixing Hu et al.

CHAOS SOLITONS & FRACTALS (2015)

Add to Collection

Article Mathematics, Applied

A computer virus model with graded cure rates

Lu-Xing Yang et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2013)

Add to Collection

Article Mathematics, Applied

Modeling and analysis of the spread of computer virus

Qingyi Zhu et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2012)

Add to Collection

Article Mathematics, Applied

A novel computer virus model and its dynamics

Jianguo Ren et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2012)

Add to Collection

Article Computer Science, Hardware & Architecture

The monitoring and early detection of Internet worms

CC Zou et al.

IEEE-ACM TRANSACTIONS ON NETWORKING (2005)

Add to Collection

Review Multidisciplinary Sciences

Networks and epidemic models

MJ Keeling et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2005)

Add to Collection

© Peeref 2019-2024. All rights reserved.