|
| Analysis of a Kind of Quitting Smoking Modelwith Beddington-DeAngelis Function |
| |
| View Full Text View/Add Comment Download reader |
| KeyWord:Stochastic Beddington-DeAngelis predator-prey model Distributed
delay Stationary distribution Extinction |
| Author Name | Affiliation | | Zhimin Li | School of Science, Chang’an University, Xi’an, Shaanxi 710064, China | | Tailei Zhang | School of Science, Chang’an University, Xi’an, Shaanxi 710064, China | | Jianzhong Gao | School of Ecological Environment, Northwestern Polytechnical University,
Xi’an, Shaanxi 710072, China | | Shu Fang | School of Science, Chang’an University, Xi’an, Shaanxi 710064, China |
|
| Hits: 407 |
| Download times: 615 |
| Abstract: |
| In this paper, we discuss the dynamics of quitting smoking with
Beddington-Deangelis function. Firstly, the basic reproduction number of the
model is obtained by establishing the basic reproduction matrix. Then, by
using the Routh-Hurwitz criterion and Lyapunov functionals and LaSalle’s
Invariant Principle and the second additive compound matrix, local and global
dynamics of the model are analyzed. Based on the partial rank correlation
coefficients (PRCCs), we discuss some biological implications and focus on
the impact of some key model parameters. Finally, the numerical simulations
show the theoretical analysis more intuitively, and we give some strategies to
control the spread of smokers. |
|
|
|
