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 Modeling fractional order dynamics of Syphilis via Mittag-Leffler law

2021 ◽  
Author(s):  
E. Bonyah ◽  
C.W. Chukwu ◽  
M.L. Juga ◽  
Fatmawati
Keyword(s):  
Mathematical Model ◽  
Fractional Order ◽  
Sexually Transmitted Disease ◽  
Existence And Uniqueness ◽  
Reproduction Number ◽  
Transmitted Disease ◽  
Uniqueness Of Solutions ◽  
Sexually Transmitted ◽  
The World ◽  
Disease Free

AbstractSyphilis is one the most dangerous sexually transmitted disease which is common in the world. In this work, a mathematical model is formulated with an emphasis on treatment. The reproduction number which presents information on the spread of the disease is determined. The model’s steady states are established, and the disease free state’s local and global stability are studied. The existence and uniqueness of solutions for both Caputo-Fabrizio and Atangana-Baleanu derivative in the Caputo sense are established. Numerical simulations were carried out to support the analytical solution, which indicates that the fractional order derivatives influence the dynamics of the spread of the Syphilis in the community.2010 MSC: 00-01, 99-00

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 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 Development Innovation to Predict Dengue Affected Area and Alert People with Smartphones

2020 ◽  
Vol 16 (02) ◽  
pp. 62 ◽  
Author(s):  
Patsaraporn Somboonsak
Keyword(s):  
Dengue Fever ◽  
Fog Computing ◽  
Arima Model ◽  
Application Development ◽  
Vector Borne Diseases ◽  
Traffic Lights ◽  
The People ◽  
Dengue Outbreaks ◽  
Vector Borne ◽  
Self Driving Cars

<p class="0abstract">Dengue remains a significant problem that needs to be addressed urgently in Thailand. Although Thailand has spread the dengue fever for more than sixty years, however, it is still found dengue patients in every province and spread to various areas. There is also a variable pattern of disease occurring each year, so it is necessary to have tools to help forecast area to allow the related organization and the people in the area plan to prevent dengue fever that may occur next year. This research aimed to create innovation for predicting dengue fever regions, namely ThaiDengue, by collecting data from dengue patients in Chatuchak District, Bangkok, Thailand, from January 2014 to December 2018. There was a total of 358,524 dengue patients from the Bureau of vector-borne diseases applied to the prediction of patients in the next year with the ARIMA model (1,1,0) (1,1,0). It is predicted that in 2019, Thailand will have dengue patients around 95,000 cases, which has the number of dengue patients close to the year 2018. In the next step, application development and database on fog computing. Fog computing is an evolving technology that brings the benefits achieved by could computing to the periphery of the network devices for faster data analytics. It is better suited than cloud computing for meeting the demands of numerous emerging applications such as self-driving cars, traffic lights, smart homes. While the ThaiDengue consists of the main menu: how to use, forecast, surveillance calendar, notification, disease map, notify patients, contact the Bureau of vector-borne, knowledge information, and scan the QR code. After that, the result of the development, the researcher has the Bureau of vector-borne disease of Thailand used to forecasts, create a GPS map of dengue outbreaks, and create a calendar for dengue monitoring.  After that, send a message to alert the people in the area of dengue via a smartphone and send additional emails. The results from using the application found this application can be used as a tool to help the Bureau of vector-borne diseases, to plan dengue fever control and alert the people in the risk areas of dengue outbreak and users are very satisfied with the use of the application.</p>

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF FRACTIONAL ORDER PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

2017 ◽  
Vol 102 (1) ◽  
pp. 121-136
Author(s):  
Amina Kassim Hussain ◽  
Fadhel Subhi Fadhel ◽  
Nursalasawati Rusli ◽  
Zainor Ridzuan Yahya
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Existence And Uniqueness ◽  
Uniqueness Of Solutions

scholarly journals On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Stanislas Ouaro ◽  
Ali Traoré
Keyword(s):  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Mass Action ◽  
Global Dynamics ◽  
Asymptotically Stable ◽  
Globally Asymptotically Stable ◽  
Vector Borne Disease ◽  
Special Cases ◽  
Vector Borne ◽  
The Basic Reproduction Number

We study a vector-borne disease with age of vaccination. A nonlinear incidence rate including mass action and saturating incidence as special cases is considered. The global dynamics of the equilibria are investigated and we show that if the basic reproduction number is less than 1, then the disease-free equilibrium is globally asymptotically stable; that is, the disease dies out, while if the basic reproduction number is larger than 1, then the endemic equilibrium is globally asymptotically stable, which means that the disease persists in the population. Using the basic reproduction number, we derive a vaccination coverage rate that is required for disease control and elimination.

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