| Title |
Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
|
|---|---|
| Published in |
Journal of Mathematical Biology, April 2017
|
| DOI | 10.1007/s00285-017-1124-7 |
| Pubmed ID | |
| Authors |
Zhigui Lin, Huaiping Zhu |
| Abstract |
In this paper, a reaction-diffusion system is proposed to model the spatial spreading of West Nile virus in vector mosquitoes and host birds in North America. Transmission dynamics are based on a simplified model involving mosquitoes and birds, and the free boundary is introduced to model and explore the expanding front of the infected region. The spatial-temporal risk index [Formula: see text], which involves regional characteristic and time, is defined for the simplified reaction-diffusion model with the free boundary to compare with other related threshold values, including the usual basic reproduction number [Formula: see text]. Sufficient conditions for the virus to vanish or to spread are given. Our results suggest that the virus will be in a scenario of vanishing if [Formula: see text], and will spread to the whole region if [Formula: see text] for some [Formula: see text], while if [Formula: see text], the spreading or vanishing of the virus depends on the initial number of infected individuals, the area of the infected region, the diffusion rate and other factors. Moreover, some remarks on the basic reproduction numbers and the spreading speeds are presented and compared. |
X Demographics
The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 25 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 25 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Researcher | 7 | 28% |
| Student > Ph. D. Student | 4 | 16% |
| Professor | 3 | 12% |
| Student > Postgraduate | 2 | 8% |
| Student > Bachelor | 2 | 8% |
| Other | 2 | 8% |
| Unknown | 5 | 20% |
| Readers by discipline | Count | As % |
|---|---|---|
| Agricultural and Biological Sciences | 4 | 16% |
| Mathematics | 4 | 16% |
| Veterinary Science and Veterinary Medicine | 2 | 8% |
| Environmental Science | 2 | 8% |
| Medicine and Dentistry | 2 | 8% |
| Other | 5 | 20% |
| Unknown | 6 | 24% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 06 April 2017.
All research outputs
#20,412,387
of 22,962,258 outputs
Outputs from Journal of Mathematical Biology
#544
of 657 outputs
Outputs of similar age
#269,322
of 308,981 outputs
Outputs of similar age from Journal of Mathematical Biology
#13
of 16 outputs
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