laboratoire de physique statistique
 
 
laboratoire de physique statistique

Publications

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DISCRETE DYNAMICS IN NATURE AND SOCIETY 


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2016
Time Delayed Equations as Models in Nature and Society - Guerrini, Luca and Gori, Luca and Matsumoto, Akio and Sodini, Mauro and Zhang, Zizhen and Bianca, Carlo
DISCRETE DYNAMICS IN NATURE AND SOCIETY  (2016)
Dynamical Analysis of a Computer Virus Model with Delays - Liu, Juan and Bianca, Carlo and Guerrini, Luca
DISCRETE DYNAMICS IN NATURE AND SOCIETY  (2016)

Abstract : An SIQR computer virus model with two delays is investigated in the present paper. The linear stability conditions are obtained by using characteristic root method and the developed asymptotic analysis shows the onset of a Hopf bifurcation occurs when the delay parameter reaches a critical value. Moreover the direction of the Hopf bifurcation and stability of the bifurcating period solutions are investigated by using the normal form theory and the center manifold theorem. Finally, numerical investigations are carried out to show the feasibility of the theoretical results.