Dynamics of a dengue fever model with vertical transmission and time periodic in spatially heterogeneous environments

2021 ◽  
Author(s):  
Mingshan Li ◽  
Hongyong Zhao
Keyword(s):  
Dengue Fever ◽  
Vertical Transmission ◽  
Heterogeneous Environments ◽  
Time Periodic

scholarly journals The Role of Vertical Transmission in the Control of Dengue Fever

2019 ◽  
Vol 16 (5) ◽  
pp. 803 ◽  
Author(s):  
David Murillo ◽  
Anarina Murillo ◽  
Sunmi Lee
Keyword(s):  
Dengue Fever ◽  
Vertical Transmission ◽  
Disease Transmission ◽  
Control Function ◽  
Infected Mosquito ◽  
Effective Control ◽  
Control Policies ◽  
Effective Interventions ◽  
Endemic Strain

In this work, a two-strain dengue model with vertical transmission in the mosquito population is considered. Although vertical transmission is often ignored in models of dengue fever, we show that effective control of an outbreak of dengue can depend on whether or not the vertical transmission is a significant mode of disease transmission. We model the effect of a control strategy aimed at reducing human-mosquito transmissions in an optimal control framework. As the likelihood of vertical transmission increases, outbreaks become more difficult and expensive to control. However, even for low levels of vertical transmission, the additional, uncontrolled, transmission from infected mosquito to eggs may undercut the effectiveness of any control function. This is of particular importance in regions where existing control policies may be effective and the endemic strain does not exhibit vertical transmission. If a novel strain that does exhibit vertical transmission invades, then existing, formerly effective, control policies may no longer be sufficient. Therefore, public health officials should pay more attention to the role of vertical transmission for more effective interventions and policy.

POPULATION DYNAMICS IN HETEROGENEOUS ENVIRONMENTS: A DISCRETE MODEL

2000 ◽  
Vol 10 (08) ◽  
pp. 1993-2000 ◽  
Author(s):  
BASTIEN FERNANDEZ ◽  
VALERY TERESHKO
Keyword(s):  
Population Dynamics ◽  
Periodic Orbit ◽  
Discrete Model ◽  
Mean Field ◽  
Heterogeneous Environments ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Population Spread ◽  
Asymptotic Dynamics ◽  
Time Periodic

We study the dynamics of a multidimensional coordinate-dependent mapping governing the time evolution of a population spread over a one-dimensional lattice. The nonlinearity is of mean-field type and the dependence on coordinates, given by the so-called fitness, allows to take into account the spatial heterogeneities of the habitat. A global picture of the dynamics is given in the case without diffusion and in the case with diffusion when the fitness is homogeneous and leads to a periodic orbit. Moreover it is shown that, periodic fitnesses close to homogeneous ones impose their periodicity on the asymptotic dynamics when the latter is time-periodic.

scholarly journals Vertical Transmission in a Two-Strain Model of Dengue Fever

2014 ◽  
Vol 1 (2) ◽  
Author(s):  
David Murillo ◽  
Susan Holechek ◽  
Anarina Murillo ◽  
Fabio Sanchez ◽  
Carlos Castillo-Chavez
Keyword(s):  
Dengue Fever ◽  
Vertical Transmission ◽  
Strain Model

Molecular identification of the first local dengue fever outbreak in Shenzhen city, China: a potential imported vertical transmission from Southeast Asia?

2013 ◽  
Vol 142 (2) ◽  
pp. 225-233 ◽  
Author(s):  
F. YANG ◽  
G. Z. GUO ◽  
J. Q. CHEN ◽  
H. W. MA ◽  
T. LIU ◽  
...  
Keyword(s):  
Southeast Asia ◽  
Dengue Fever ◽  
Vertical Transmission ◽  
Serum Samples ◽  
Phylogenetic Tree Analysis ◽  
Molecular Fingerprints ◽  
Imported Case ◽  
Shenzhen City ◽  
Gene Homology ◽  
Close Relationship

SUMMARYA suspected dengue fever outbreak occurred in 2010 at a solitary construction site in Shenzhen city, China. To investigate this epidemic, we used serological, molecular biological, and bioinformatics techniques. Of nine serum samples from suspected patients, we detected seven positive for dengue virus (DENV) antibodies, eight for DENV-1 RNA, and three containing live viruses. The isolated virus, SZ1029 strain, was sequenced and confirmed as DENV-1, showing the highest E-gene homology to D1/Malaysia/36000/05 and SG(EHI)DED142808 strains recently reported in Southeast Asia. Further phylogenetic tree analysis confirmed their close relationship. At the epidemic site, we also detected 14 asymptomatic co-workers (out of 291) positive for DENV antibody, and DENV-1-positive mosquitoes. Thus, we concluded that DENV-1 caused the first local dengue fever outbreak in Shenzhen. Because no imported case was identified, the molecular fingerprints of the SZ1029 strain suggest this outbreak may be due to vertical transmission imported from Southeast Asia.

scholarly journals Vertical Transmission in a Two-Strain Model of Dengue Fever

2014 ◽  
Vol 1 (2) ◽  
pp. 249-271 ◽  
Author(s):  
David Murillo ◽  
Susan A. Holechek ◽  
Anarina L. Murillo ◽  
Fabio Sanchez ◽  
Carlos Castillo-Chavez
Keyword(s):  
Dengue Fever ◽  
Vertical Transmission ◽  
Strain Model

scholarly journals Vertical transmission of dengue fever: First case reported in Taiwan

2015 ◽  
Vol 114 (6) ◽  
pp. 558-559 ◽  
Author(s):  
Shu-Ting Yang ◽  
Hsiu-Lin Chen ◽  
Chun-Tai Yeh ◽  
Wei-Te Lee
Keyword(s):  
Dengue Fever ◽  
Vertical Transmission ◽  
First Case
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