scholarly journals Propagation dynamics of nonlocal dispersal equations with inhomogeneous bistable nonlinearity

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Shao-Xia Qiao ◽  
◽  
Li-Jun Du ◽  
2019 ◽  
Vol 35 (11) ◽  
pp. 1771-1794 ◽  
Author(s):  
Li Zhang ◽  
Wan Tong Li ◽  
Zhi Cheng Wang ◽  
Yu Juan Sun

2011 ◽  
Vol 251 (3) ◽  
pp. 551-581 ◽  
Author(s):  
Yu-Juan Sun ◽  
Wan-Tong Li ◽  
Zhi-Cheng Wang

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Fang-Di Dong ◽  
◽  
Wan-Tong Li ◽  
Shi-Liang Wu ◽  
Li Zhang ◽  
...  

Author(s):  
Satya Ranjan Biswal ◽  
Santosh Kumar Swain

: Security is one of the important concern in both types of the network. The network may be wired or wireless. In case of wireless network security provisioning is more difficult in comparison to wired network. Wireless Sensor Network (WSN) is also a type of wireless network. And due to resource constraints WSN is vulnerable against malware attacks. Initially, the malware (virus, worm, malicious code, etc.) targets a single node of WSN for attack. When a node of WSN gets infected then automatically start to spread in the network. If nodes are strongly correlated the malware spreads quickly in the network. On the other hand, if nodes are weakly correlated the speed of malware spread is slow. A mathematical model is proposed for the study of malware propagation dynamics in WSN with combination of spatial correlation and epidemic theory. This model is based on epidemic theory with spatial correlation. The proposed model is Susceptible-Exposed-Infectious-Recover-Dead (SEIRD) with spatial correlation. We deduced the expression of basic reproduction number. It helps in the study of malware propagation dynamics in WSN. The stability analysis of the network has been investigated through proposed model. This model also helps in reduction of redundant information and saving of sensor nodes’ energy in WSN. The theoretical investigation verified by simulation results. A spatial correlation based epidemic model has been formulated for the study of dynamic behaviour of malware attacks in WSN.


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