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Research Publications (Mathematical and Statistical Sciences)
Items in this Collection
- 2Basic reproduction number
- 2Ecological stoichiometry
- 2Sensitivity analysis
- 2Stoichiometric constraints
- 2infectious disease
- 1Age-structured model
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An early warning indicator trained on stochastic disease-spreading models with different noises
Download2024-08-09
Chakraborty, Amit K., Gao. Shan, Miry, Reza, Ramazi, Pouria, Greiner, Russell, Lewis, Mark A., Wang, Hao
Abstract (description taken from article) The timely detection of disease outbreaks through reliable early warning signals (EWSs) is indispensable for effective public health mitigation strategies. Nevertheless, the intricate dynamics of real-world disease spread, often influenced by diverse...
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2019-01-01
Fazly, Mostafa, Lewis, Mark A, Wang, Hao
We study a hybrid impulsive reaction-advection-diffusion model given by a reaction-advection-diffusion equation composed with a discrete-time map in space dimension $n\in\mathbb N$. The reaction-advection-diffusion equation takes the form \begin{equation}\label{} u^{(m)}_t = \text{div}(A\nabla...
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Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments
Download2024-02-01
Zhang, Shengqiang, Meng, Yanling, Chakraborty, Amit Kumar, Wang, Hao
Abstract (description taken from article) Engaging in smoking not only leads to substantial health risks but also imposes considerable financial burdens. To deepen our understanding of the mechanisms behind smoking transmission and to address the tobacco epidemic, we examined a five-dimensional...
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Discrete Inverse Method for Extracting Disease Transmission Rates from Accessible Infection Data
Download2024-06-01
Abstract (description taken from this, pre-print version of the article) Accurate estimation of the transmissibility of an infectious disease is critical to understanding disease transmission dynamics and designing effective control strategies. However, it has always been difficult to estimate...
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Effects of fish-human transmission and different life stages of fish on Clonorchiasis: A novel mathematical model
Download2024-07-01
Wang, Wei, Huang, Xiaohui, Wang, Hao
Abstract (description taken from article) Clonorchiasis is a zoonotic disease mainly caused by eating raw fish and shrimp, and there is no vaccine to prevent it. More than 30 million people are infected worldwide, of which China alone accounts for about half, and is one of the countries most...
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2024-05-03
Cheng, Haihui, Sysoeva, Liubov, Wang, Hao, Yuan, Hairui, Zhang, Tonghua, Meng, Xinzhu
Abstract (description taken from article) In biology, evolutionary game-theoretical models often arise in which players’ strategies impact the state of the environment, driving feedback between strategy and the surroundings. In this case, cooperative interactions can be applied to studying...
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Global analysis of an age-structured tuberculosis model with an application to Jiangsu, China
Download2024-04-02
Jing, Shuanglin, Xue, Ling, Wang, Hao, Peng, Zhihang
Abstract (taken from the article) Diagnostic delay for TB infected individuals and the lack of TB vaccines for adults are the main challenges to achieve the goals of WHO by 2050. In order to evaluate the impacts of diagnostic delay and vaccination for adults on prevalence of TB, we propose an...
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2024-05-13
Shi, Qingyan, Song, Yongli, Wang, Hao
Abstract taken from the article Spatial memory is key in animal movement modeling, but it has been challenging to explicitly model learning to describe memory acquisition. In this paper, we study novel cognitive consumer-resource models with different consumer learning mechanisms and investigate...
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2024-02-26
Liu, Guodong, Wang, Hao, Zhang, Xiaoyan
Abstract (description taken from article) Fick’s law and the Fokker–Planck law of diffusion are applied to manifest the cognitive dispersal of individuals in two reaction-diffusion SEIR epidemic models, where the disease transmission is illustrated by nonlocal infection mechanisms in...