scholarly journals Analysis of computer network attack based on the virus propagation model

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Yanshan He ◽  
Ting Wang ◽  
Jianli Xie ◽  
Ming Zhang
Keyword(s):  
Computer Network ◽  
Propagation Model ◽  
Virus Propagation ◽  
Network Attack

scholarly journals Stochastic Modeling of Plant Virus Propagation with Biological Control

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 456
Author(s):  
Benito Chen-Charpentier
Keyword(s):  
Differential Equations ◽  
Plant Virus ◽  
Propagation Model ◽  
Gillespie Algorithm ◽  
Virus Diseases ◽  
Virus Propagation ◽  
Healthy Environment ◽  
Fundamental Part ◽  
Negative Effect ◽  
Delay Differential

Plants are vital for man and many species. They are sources of food, medicine, fiber for clothes and materials for shelter. They are a fundamental part of a healthy environment. However, plants are subject to virus diseases. In plants most of the virus propagation is done by a vector. The traditional way of controlling the insects is to use insecticides that have a negative effect on the environment. A more environmentally friendly way to control the insects is to use predators that will prey on the vector, such as birds or bats. In this paper we modify a plant-virus propagation model with delays. The model is written using delay differential equations. However, it can also be expressed in terms of biochemical reactions, which is more realistic for small populations. Since there are always variations in the populations, errors in the measured values and uncertainties, we use two methods to introduce randomness: stochastic differential equations and the Gillespie algorithm. We present numerical simulations. The Gillespie method produces good results for plant-virus population models.

scholarly journals Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Zizhen Zhang ◽  
Huizhong Yang
Keyword(s):  
Hopf Bifurcation ◽  
Propagation Model ◽  
Dynamical Analysis ◽  
Infection Model ◽  
Virus Propagation ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Form Theory ◽  
Two Delays ◽  
The Stability

This paper is devoted to the study of an SIRS computer virus propagation model with two delays and multistate antivirus measures. We demonstrate that the system loses its stability and a Hopf bifurcation occurs when the delay passes through the corresponding critical value by choosing the possible combination of the two delays as the bifurcation parameter. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by means of the center manifold theorem and the normal form theory. Finally, some numerical simulations are performed to illustrate the obtained results.

scholarly journals Global Behavior of a Computer Virus Propagation Model on Multilayer Networks

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Chunming Zhang
Keyword(s):  
Theoretical Analysis ◽  
Computer Virus ◽  
Propagation Model ◽  
Global Behavior ◽  
Sufficient Condition ◽  
Multilayer Networks ◽  
Virus Propagation ◽  
Simulation Results ◽  
Computer Virus Propagation Model ◽  
Vital Factor

This paper presents a new linear computer viruses propagation model on multilayer networks to explore the mechanism of computer virus propagation. Theoretical analysis demonstrates that the maximum eigenvalue of the sum of all the subnetworks is a vital factor in determining the viral prevalence. And then, a new sufficient condition for the global stability of virus-free equilibrium has been obtained. The persistence of computer virus propagation system has also been proved. Eventually, some numerical simulation results verify the main conclusions of the theoretical analysis.

SLBRS: Network Virus Propagation Model based on Safety Entropy

2020 ◽  
Vol 97 ◽  
pp. 106784
Author(s):  
Wei Tang ◽  
Yu-Jun Liu ◽  
Yu-Ling Chen ◽  
Yi-Xian Yang ◽  
Xin-Xin Niu
Keyword(s):  
Propagation Model ◽  
Virus Propagation ◽  
Model Based
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