scholarly journals Network-level reproduction number and extinction threshold for vector-borne diseases

2015 ◽  
Vol 12 (3) ◽  
pp. 565-584 ◽  
Author(s):  
Ling Xue ◽  
◽  
Caterina Scoglio
Keyword(s):  
Reproduction Number ◽  
Vector Borne Diseases ◽  
Vector Borne ◽  
Extinction Threshold

scholarly journals Mapping the basic reproduction number (R0) for vector-borne diseases: A case study on bluetongue virus

Epidemics ◽  
2009 ◽  
Vol 1 (3) ◽  
pp. 153-161 ◽  
Author(s):  
N.A. Hartemink ◽  
B.V. Purse ◽  
R. Meiswinkel ◽  
H.E. Brown ◽  
A. de Koeijer ◽  
...  
Keyword(s):  
Basic Reproduction Number ◽  
Bluetongue Virus ◽  
Reproduction Number ◽  
Vector Borne Diseases ◽  
Vector Borne ◽  
The Basic Reproduction Number

scholarly journals A Fractional Order Dengue Fever Model in the Context of Protected Travellers

2021 ◽  
Author(s):  
E. Bonyah ◽  
M. L. Juga ◽  
C. W. Chukwu ◽  
Fatmawati
Keyword(s):  
Dengue Fever ◽  
Fractional Order ◽  
Existence And Uniqueness ◽  
Climate Changes ◽  
Reproduction Number ◽  
Asymptotically Stable ◽  
Qualitative Information ◽  
Uniqueness Of Solutions ◽  
Vector Borne Diseases ◽  
Vector Borne

AbstractClimate changes are affecting the control of many vector-borne diseases, particularly in Africa. In this work, a dengue fever model with protected travellers is formulated. Caputo-Fabrizio operator is utilized to obtain some qualitative information about the disease. The basic properties and the reproduction number is studied. The two steady states are determined and the local stability of the states are found to be asymptotically stable. The fixed pointed theory is made use to obtain the existence and uniqueness of solutions of the model. The numerical simulation suggests that the fractional-order affects the dynamics of dengue fever.

scholarly journals Modelling the Effect of a Novel Autodissemination Trap on the Spread of Dengue in Shah Alam and Malaysia

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Y. Liang ◽  
M. N. Ahmad Mohiddin ◽  
R. Bahauddin ◽  
F. O. Hidayatul ◽  
W. A. Nazni ◽  
...  
Keyword(s):  
Reproduction Number ◽  
Mathematical Expression ◽  
Potential Effect ◽  
Initial Growth ◽  
Breeding Sites ◽  
Vector Borne Diseases ◽  
Vector Borne ◽  
State Capital ◽  
The Impact ◽  
Dengue Epidemic

In this paper, we will start off by introducing the classical Ross–Macdonald model for vector-borne diseases which we use to describe the transmission of dengue between humans and Aedes mosquitoes in Shah Alam, which is a city and the state capital of Selangor, Malaysia. We will focus on analysing the effect of using the Mosquito Home System (MHS), which is an example of an autodissemination trap, in reducing the number of dengue cases by changing the Ross–Macdonald model. By using the national dengue data from Malaysia, we are able to estimate λ, which represents the initial growth rate of the dengue epidemic, and this allows us to estimate the number of mosquitoes in Malaysia. A mathematical expression is also constructed which allows us to estimate the potential number of breeding sites of Aedes mosquitoes. By using the data available from the MHS trial carried out in Section 15 of Shah Alam, we included the potential effect of the MHS into the dengue model and thus modelled the impact MHS has on the spread of dengue within the trial area. We then extended our results to analyse the effect of the MHSs on reducing the number of dengue cases in the whole of Malaysia. A new model was constructed with a basic reproduction number, R0,MalaMHS, which allows us to identify the required MHSs coverage needed to achieve extinction in Malaysia. Numerical simulations and tables of results were also produced to illustrate our results.

Modeling and analysis of the transmission dynamics of mosquito-borne disease with environmental temperature fluctuation

2021 ◽  
Author(s):  
O. P. Misra ◽  
Joydip Dhar ◽  
Omprakash Singh Sisodiya
Keyword(s):  
Reproduction Number ◽  
Nonlinear Differential Equations ◽  
Asymptotically Stable ◽  
Temperature Dependent ◽  
Globally Asymptotically Stable ◽  
Modeling And Analysis ◽  
Vector Borne Diseases ◽  
Proposed Model ◽  
Functional Forms ◽  
Vector Borne

Most of the vector-borne diseases show a clear dependence on seasonal variation, including climate change. In this paper, we proposed a nonautonomous mathematical model consisting of a periodic system of nonlinear differential equations. In the proposed model, the realistic functional forms for the different temperature-dependent parameters are considered. The autonomous system of the proposed model is also analyzed. The nontrivial solution of the autonomous model is locally asymptotically stable if [Formula: see text]. It is shown that a unique endemic equilibrium point of the autonomous model exists when [Formula: see text] and proved that endemic solution is linearly stable when [Formula: see text]. The nonautonomous model is shown to have a nontrivial disease-free periodic state, which is globally asymptotically stable whenever temperature-dependent reproduction number is less than unity. It is observed that a unique positive endemic periodic solution of the nonautonomous system exists only when a temperature-dependent reproduction number greater than unity, which makes for the persistence of the disease. Numerical simulation has been carried out to support the analytical results and shows the effects of temperature variability in the life span of mosquitoes as well as the persistence of the disease.

scholarly journals Modelling the effective reproduction number of vector-borne diseases: the yellow fever outbreak in Luanda, Angola 2015–2016 as an example

PeerJ ◽  
2020 ◽  
Vol 8 ◽  
pp. e8601 ◽  
Author(s):  
Shi Zhao ◽  
Salihu S. Musa ◽  
Jay T. Hebert ◽  
Peihua Cao ◽  
Jinjun Ran ◽  
...  
Keyword(s):  
Yellow Fever ◽  
Compartmental Model ◽  
Reproduction Number ◽  
Analytic Form ◽  
Vector Borne Diseases ◽  
The Past ◽  
Geometric Average ◽  
Two Generations ◽  
Vector Borne ◽  
Disease Epidemics

The burden of vector-borne diseases (Dengue, Zika virus, yellow fever, etc.) gradually increased in the past decade across the globe. Mathematical modelling on infectious diseases helps to study the transmission dynamics of the pathogens. Theoretically, the diseases can be controlled and eventually eradicated by maintaining the effective reproduction number, (${\mathcal{R}}_{\mathrm{eff}}$), strictly less than 1. We established a vector-host compartmental model, and derived (${\mathcal{R}}_{\mathrm{eff}}$) for vector-borne diseases. The analytic form of the (${\mathcal{R}}_{\mathrm{eff}}$) was found to be the product of the basic reproduction number and the geometric average of the susceptibilities of the host and vector populations. The (${\mathcal{R}}_{\mathrm{eff}}$) formula was demonstrated to be consistent with the estimates of the 2015–2016 yellow fever outbreak in Luanda, and distinguished the second minor epidemic wave. For those using the compartmental model to study the vector-borne infectious disease epidemics, we further remark that it is important to be aware of whether one or two generations is considered for the transition “from host to vector to host” in reproduction number calculation.

The Spread of Mosquito Borne Disease – Is Climate Change Beginning to Bite?

2019 ◽  
Vol 30 (5) ◽  
pp. 192-194
Author(s):  
John (Luke) Lucas
Keyword(s):  
Climate Change ◽  
Vector Borne Diseases ◽  
Vector Borne

The author considers the threat to vector-borne diseases in the light of climate change.

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