Propagation dynamics of Lotka-Volterra competition systems with asymmetric dispersal in periodic habitats

2021 ◽  
Vol 300 ◽  
pp. 185-225
Author(s):  
Yu-Xia Hao ◽  
Wan-Tong Li ◽  
Jia-Bing Wang
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.


ACS Omega ◽  
2020 ◽  
Vol 5 (19) ◽  
pp. 10965-10976 ◽  
Author(s):  
Congcong Liu ◽  
Yi Zhang ◽  
Deyang Xiong ◽  
Xiaomei Huang ◽  
Pengyuan Zhang ◽  
...  

2000 ◽  
Vol 651 ◽  
Author(s):  
A.M. Lacasta ◽  
J.M. Sancho ◽  
F. Sagues ◽  
G. Oshanin

AbstractWe study propagation dynamics of a particle phase in a single-file pore connected to a reservoir of particles (bulk liquid phase). We show that the total mass M(t) of particles entering the pore up to time t grows as (Mt) = 2m(J,ρF) √D0t, where D0 is the “bare” di usion coeffcient and the prefactor m(J,ρF) is a non-trivial function of the reservoir density ρF and the amplitude J of attractive particle-particle interactions. Behavior of the dynamic density pro les is also discussed.


2002 ◽  
Vol 91 (3) ◽  
pp. 1066-1073 ◽  
Author(s):  
T. J. Silva ◽  
M. R. Pufall ◽  
Pavel Kabos

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