TY - JOUR
AU1 - Zhang, Zizhen
AU2 - Zou, Junchen
AU3 - Upadhyay, Ranjit Kumar
AU4 - Pratap, A.
AB - This paper is concerned with a delayed tobacco smoking model containing users in the form of snuffing. Its dynamics is studied in terms of local stability and Hopf bifurcation by regarding the time delay as a bifurcation parameter and analyzing the associated characteristic transcendental equation. Specially, specific formulas determining the stability and direction of the Hopf bifurcation are derived with the aid of the normal form theory and the center manifold theorem. Using LMI techniques, global exponential stability results for smoking present equilibrium have been presented. Computer simulations are implemented to explain the obtained analytical results.
TI - Stability and Hopf bifurcation analysis of a delayed tobacco smoking model containing snuffing class
JF - Advances in Difference Equations
DO - 10.1186/s13662-020-02808-5
DA - 2020-07-10
UR - https://www.deepdyve.com/lp/springer-journals/stability-and-hopf-bifurcation-analysis-of-a-delayed-tobacco-smoking-RPQ4K9iYm0
VL - 2020
IS - 1
DP - DeepDyve
ER -