Spatial dynamics of a dengue transmission model in time-space periodic environment

2020 ◽  
Vol 269 (8) ◽  
pp. 149-175
Author(s):  
Jian Fang ◽  
Xiulan Lai ◽  
Feng-Bin Wang
Keyword(s):  
Spatial Dynamics ◽  
Transmission Model ◽  
Periodic Environment ◽  
Time Space ◽  
Dengue Transmission

scholarly journals Sensitivity, uncertainty and identifiability analyses to define a dengue transmission model with real data of an endemic municipality of Colombia

PLoS ONE ◽  
2020 ◽  
Vol 15 (3) ◽  
pp. e0229668
Author(s):  
Diana Paola Lizarralde-Bejarano ◽  
Daniel Rojas-Díaz ◽  
Sair Arboleda-Sánchez ◽  
María Eugenia Puerta-Yepes
Keyword(s):  
Real Data ◽  
Transmission Model ◽  
Dengue Transmission

Stability, Bifurcation and Optimal Control Analysis of a Malaria Model in a Periodic Environment

2018 ◽  
Vol 19 (6) ◽  
pp. 627-642 ◽  
Author(s):  
Prabir Panja ◽  
Shyamal Kumar Mondal ◽  
Joydev Chattopadhyay
Keyword(s):  
Optimal Control ◽  
Disease Transmission ◽  
Existence Condition ◽  
Infected Mosquito ◽  
Transmission Model ◽  
Control Analysis ◽  
Periodic Environment ◽  
Vector Population ◽  
Autonomous Case ◽  
Disease Transmission Model

AbstractIn this paper, a malaria disease transmission model has been developed. Here, the disease transmission rates from mosquito to human as well as human to mosquito and death rate of infected mosquito have been constituted by two variabilities: one is periodicity with respect to time and another is based on some control parameters. Also, total vector population is divided into two subpopulations such as susceptible mosquito and infected mosquito as well as the total human population is divided into three subpopulations such as susceptible human, infected human and recovered human. The biologically feasible equilibria and their stability properties have been discussed. Again, the existence condition of the disease has been illustrated theoretically and numerically. Hopf-bifurcation analysis has been done numerically for autonomous case of our proposed model with respect to some important parameters. At last, a optimal control problem is formulated and solved using Pontryagin’s principle. In numerical simulations, different possible combination of controls have been illustrated including the comparisons of their effectiveness.

scholarly journals Projections of increased and decreased dengue incidence under climate change

2016 ◽  
Vol 144 (14) ◽  
pp. 3091-3100 ◽  
Author(s):  
C. R. WILLIAMS ◽  
G. MINCHAM ◽  
H. FADDY ◽  
E. VIENNET ◽  
S. A. RITCHIE ◽  
...  
Keyword(s):  
Climate Change ◽  
Climate Warming ◽  
Carbon Emission ◽  
Climate Models ◽  
Virus Transmission ◽  
Transmission Model ◽  
Simple Relationship ◽  
Breeding Sites ◽  
Dengue Transmission ◽  
Dengue Epidemic

SUMMARYDengue is the world's most prevalent mosquito-borne disease, with more than 200 million people each year becoming infected. We used a mechanistic virus transmission model to determine whether climate warming would change dengue transmission in Australia. Using two climate models each with two carbon emission scenarios, we calculated future dengue epidemic potential for the period 2046–2064. Using the ECHAM5 model, decreased dengue transmission was predicted under the A2 carbon emission scenario, whereas some increases are likely under the B1 scenario. Dengue epidemic potential may decrease under climate warming due to mosquito breeding sites becoming drier and mosquito survivorship declining. These results contradict most previous studies that use correlative models to show increased dengue transmission under climate warming. Dengue epidemiology is determined by a complex interplay between climatic, human host, and pathogen factors. It is therefore naive to assume a simple relationship between climate and incidence, and incorrect to state that climate warming will uniformly increase dengue transmission, although in general the health impacts of climate change will be negative.

SPATIO-TEMPORAL PATTERNS IN A CHOLERA TRANSMISSION MODEL

2015 ◽  
Vol 23 (03) ◽  
pp. 471-484 ◽  
Author(s):  
A. K. MISRA ◽  
MILAN TIWARI ◽  
ANUPAMA SHARMA
Keyword(s):  
Spatial Patterns ◽  
Dimensional Space ◽  
Spatial Dynamics ◽  
Transmission Model ◽  
Cholera Epidemic ◽  
Temporal System ◽  
Spatially Extended ◽  
Variable Population ◽  
Spatio Temporal ◽  
Variable Population Size

Cholera has been a public health threat for centuries. Unlike the biological characteristics, relatively less effort has been paid to comprehend the spatial dynamics of this disease. Therefore, in this paper, we have proposed a cholera epidemic model for variable population size and studied the spatial patterns in two-dimensional space. First, we have performed the equilibrium and local stability analysis of steady states obtained for temporal system. Afterwards, the local and global stability behavior of the endemic steady state in a spatially extended setting has been investigated. The numerical simulations have been done to investigate the spatial patterns. They show that dynamics of the cholera epidemic varies with time and space.

An SIR-Dengue transmission model with seasonal effects and impulsive control

2017 ◽  
Vol 289 ◽  
pp. 29-39 ◽  
Author(s):  
Joseph Páez Chávez ◽  
Thomas Götz ◽  
Stefan Siegmund ◽  
Karunia Putra Wijaya
Keyword(s):  
Impulsive Control ◽  
Seasonal Effects ◽  
Transmission Model ◽  
Dengue Transmission

scholarly journals Parameter estimation and fractional derivatives of dengue transmission model

2020 ◽  
Vol 5 (3) ◽  
pp. 2758-2779 ◽  
Author(s):  
Windarto ◽  
◽  
Muhammad Altaf Khan ◽  
Fatmawati ◽  
Keyword(s):  
Parameter Estimation ◽  
Fractional Derivatives ◽  
Transmission Model ◽  
Dengue Transmission ◽  
Derivatives Of

scholarly journals Multiobjective approach to optimal control for a dengue transmission model

10.19139/144 ◽  
2015 ◽  
Vol 3 (3) ◽  
Author(s):  
Roman Denysiuk ◽  
Helena Sofia Rodrigues ◽  
M. Teresa T. Monteiro ◽  
Lino Costa ◽  
Isabel Espírito Santo ◽  
...  
Keyword(s):  
Optimal Control ◽  
Transmission Model ◽  
Dengue Transmission ◽  
Multiobjective Approach

scholarly journals Über die Wahrscheinlichkeit des Aussterbens einer Population in einer langsamen periodischen Umgebung

2020 ◽  
Vol Volume 32 - 2019 - 2020 ◽  
Author(s):  
Nicolas Bacaër ◽  
Claude Lobry ◽  
Tewfik Sari
Keyword(s):  
Dynamical System ◽  
Disease Transmission ◽  
Transmission Model ◽  
Death Process ◽  
Birth And Death Process ◽  
Periodic Environment ◽  
International Audience ◽  
Vector Borne ◽  
Probability Of Extinction ◽  
Disease Transmission Model

International audience Wir studieren die Wahrscheinlichkeit des Aussterbens eines linearen Geburts- und Todesprozesses mit mehreren Typen in einer periodischen Umgebung, wenn die Periode groß ist. Diese Wahrscheinlichkeit hängt von der Jahreszeit ab und zeigt eine Diskontinuität im Zusammenhang mit einem "Canard" in einem langsam-schnellen dynamischen System. Der Diskontinuitätspunkt wird in einem Beispiel mit zwei Typen genau bestimmt. Dieses Beispiel kommt von einem Modell für eine Krankheit, die durch Vektoren übertragen wird. We study the probability of extinction of a population modelled by a linear birth-and-death process with several types in a periodic environment when the period is large compared to other time scales. This probability depends on the season and may present a sharp jump in relation to a "canard" in a slow-fast dynamical system. The point of discontinuity is determined precisely in an example with two types of individuals related to a vector-borne disease transmission model. On s'intéresse à la probabilité d'extinction d'un processus linéaire de naissance et de mort avec plusieurs types dans un environnement périodique dans la limite d'une période très grande. Cette probabilité dépend de la saison et peut présenter à la limite une discontinuité en lien avec un canard dans un système dynamique lent-rapide. On détermine précisément le point de discontinuité dans un exemple avec deux types d'individus provenant d'un modèle de transmission d'une maladie à vecteurs.

Bistable equilibrium criteria in dengue transmission model for Malaysia

2018 ◽  
Author(s):  
Chai Jian Tay ◽  
Su Yean Teh ◽  
Hock Lye Koh
Keyword(s):  
Transmission Model ◽  
Dengue Transmission
Sign in / Sign up

Export Citation Format

Share Document