Travelling waves of a diffusive Kermack – McKendrick epidemic model with non-local delayed transmission

@inproceedings{Wang2009TravellingWO,
  title={Travelling waves of a diffusive Kermack – McKendrick epidemic model with non-local delayed transmission},
  author={Zhi-Cheng Wang and Wu Jianhong},
  year={2009}
}
We obtain full information about the existence and non-existence of travelling wave solutions for a general class of diffusive Kermack–McKendrick SIR models with nonlocal and delayed disease transmission. We show that this information is determined by the basic reproduction number of the corresponding ordinary differential model, and the minimal wave speed is explicitly determined by the delay (such as the latent period) and non-locality in disease transmission, and the spatial movement pattern… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 34 references

Travelling waves for a simple diffusive epidemic model

Y. Hosono, B. Ilyas
Math. Model Meth. Appl. Sci • 1994
View 4 Excerpts
Highly Influenced

Travelling wave solutions for an infection-age structured model with diffusion

A. Ducrot, P. Magal
Proc. R. Soc. Edin. Ser. A Math • 2009
View 2 Excerpts
Highly Influenced

Compartmental models in epidemiology

F. Brauer
Lecture Notes in Mathematics, • 2008
View 2 Excerpts
Highly Influenced

Uniqueness of travelling waves for nonlocal monostable equations

J. Carr, A. Chmaj
Proc. Amer. Math. Soc • 2004
View 3 Excerpts
Highly Influenced

Asymptotic speeds of spread and travelling waves for integral equations and delayed reaction-diffusion models

H. R. Thieme, X. Q. Zhao
J. Diff. Equat • 2003
View 1 Excerpt
Highly Influenced

Travelling wave fronts of reaction–diffusion systems with delay

J. Wu, X. Zou
J. Dynam. Diff. Eqns • 2001
View 1 Excerpt
Highly Influenced

Mathematical biology, Berlin, Germany: Springer-Verlag

J. D. Murray
1989
View 1 Excerpt
Highly Influenced

Similar Papers

Loading similar papers…