| Title |
Multi-stage Vector-Borne Zoonoses Models: A Global Analysis
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, April 2018
|
| DOI | 10.1007/s11538-018-0435-1 |
| Pubmed ID | |
| Authors |
Derdei Bichara, Abderrahman Iggidr, Laura Smith |
| Abstract |
A class of models that describes the interactions between multiple host species and an arthropod vector is formulated and its dynamics investigated. A host-vector disease model where the host's infection is structured into n stages is formulated and a complete global dynamics analysis is provided. The basic reproduction number acts as a sharp threshold, that is, the disease-free equilibrium is globally asymptotically stable (GAS) whenever [Formula: see text] and that a unique interior endemic equilibrium exists and is GAS if [Formula: see text]. We proceed to extend this model with m host species, capturing a class of zoonoses where the cross-species bridge is an arthropod vector. The basic reproduction number of the multi-host-vector, [Formula: see text], is derived and shown to be the sum of basic reproduction numbers of the model when each host is isolated with an arthropod vector. It is shown that the disease will persist in all hosts as long as it persists in one host. Moreover, the overall basic reproduction number increases with respect to the host and that bringing the basic reproduction number of each isolated host below unity in each host is not sufficient to eradicate the disease in all hosts. This is a type of "amplification effect," that is, for the considered vector-borne zoonoses, the increase in host diversity increases the basic reproduction number and therefore the disease burden. |
X Demographics
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 2 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Scientists | 1 | 50% |
| Members of the public | 1 | 50% |
Mendeley readers
The data shown below were compiled from readership statistics for 12 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 12 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Bachelor | 2 | 17% |
| Researcher | 2 | 17% |
| Other | 1 | 8% |
| Student > Ph. D. Student | 1 | 8% |
| Lecturer | 1 | 8% |
| Other | 2 | 17% |
| Unknown | 3 | 25% |
| Readers by discipline | Count | As % |
|---|---|---|
| Agricultural and Biological Sciences | 2 | 17% |
| Biochemistry, Genetics and Molecular Biology | 1 | 8% |
| Mathematics | 1 | 8% |
| Computer Science | 1 | 8% |
| Immunology and Microbiology | 1 | 8% |
| Other | 2 | 17% |
| Unknown | 4 | 33% |
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 16 July 2018.
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#15,540,879
of 23,096,849 outputs
Outputs from Bulletin of Mathematical Biology
#728
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#208,142
of 326,627 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#19
of 29 outputs
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