Modeling and analyzing the transmission dynamics of visceral leishmaniasis
In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandflies and humans, are considered in the model. Based on recent studies, we include vertical transmission of dogs in the spread of the disease. We also investigate...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2017-09-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017082 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590073700286464 |
|---|---|
| author | Lan Zou Jing Chen Shigui Ruan |
| author_facet | Lan Zou Jing Chen Shigui Ruan |
| author_sort | Lan Zou |
| collection | DOAJ |
| description | In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandflies and humans, are considered in the model. Based on recent studies, we include vertical transmission of dogs in the spread of the disease. We also investigate the impact of asymptomatic humans and dogs as secondary reservoirs of the parasites. The basic reproduction number and sensitivity analysis show that the control of dog-sandfly transmission is more important for the elimination of the disease. Vaccination of susceptible dogs, treatment of infective dogs, as well as control of vertical transmission in dogs are effective prevention and control measures for visceral leishmaniasis. |
| format | Article |
| id | doaj-art-b0bb22cbc2d140a888374ca8f5ce85e3 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b0bb22cbc2d140a888374ca8f5ce85e32025-01-24T02:40:31ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-09-01145&61585160410.3934/mbe.2017082Modeling and analyzing the transmission dynamics of visceral leishmaniasisLan Zou0Jing Chen1Shigui Ruan2Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaDepartment of Mathematics, University of Miami, Coral Gables, FL 33146, USADepartment of Mathematics, University of Miami, Coral Gables, FL 33146, USAIn this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandflies and humans, are considered in the model. Based on recent studies, we include vertical transmission of dogs in the spread of the disease. We also investigate the impact of asymptomatic humans and dogs as secondary reservoirs of the parasites. The basic reproduction number and sensitivity analysis show that the control of dog-sandfly transmission is more important for the elimination of the disease. Vaccination of susceptible dogs, treatment of infective dogs, as well as control of vertical transmission in dogs are effective prevention and control measures for visceral leishmaniasis.https://www.aimspress.com/article/doi/10.3934/mbe.2017082visceral leishmaniasismathematical modelingreservoirvertical transmissionbasic reproduction number |
| spellingShingle | Lan Zou Jing Chen Shigui Ruan Modeling and analyzing the transmission dynamics of visceral leishmaniasis Mathematical Biosciences and Engineering visceral leishmaniasis mathematical modeling reservoir vertical transmission basic reproduction number |
| title | Modeling and analyzing the transmission dynamics of visceral leishmaniasis |
| title_full | Modeling and analyzing the transmission dynamics of visceral leishmaniasis |
| title_fullStr | Modeling and analyzing the transmission dynamics of visceral leishmaniasis |
| title_full_unstemmed | Modeling and analyzing the transmission dynamics of visceral leishmaniasis |
| title_short | Modeling and analyzing the transmission dynamics of visceral leishmaniasis |
| title_sort | modeling and analyzing the transmission dynamics of visceral leishmaniasis |
| topic | visceral leishmaniasis mathematical modeling reservoir vertical transmission basic reproduction number |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017082 |
| work_keys_str_mv | AT lanzou modelingandanalyzingthetransmissiondynamicsofvisceralleishmaniasis AT jingchen modelingandanalyzingthetransmissiondynamicsofvisceralleishmaniasis AT shiguiruan modelingandanalyzingthetransmissiondynamicsofvisceralleishmaniasis |