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2025-01-05

Volker Runde and John C. Bowman

The complex number system. Analytic functions. Cauchy's integral theorem and formula. Applications including the maximum modulus principle, Taylor expansion and Laurent expansion. Harmonic functions. The residue theorem with applications: the calculus of residues, the argument principle,...

2024-08-09

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...

2024-06-01

Wang, Xiunan, Wang, Hao

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...

2024-03-21

Shen, Anglu, Gao, Shufei, Jiang, Jie, Hu, Qingjing, Wang, Hao, Yuan, Sanling

Abstract from Author: "Elucidating the mechanism of effect of phosphate (PO43−) uptake on the growth of algal cells helps understand the frequent outbreaks of algal blooms caused by eutrophication. In this study, we develop a comprehensive mathematical model that incorporates two stages of PO43−...

2024-06-01

Wang, Tianxu, Wang, Hao

Abstract (description taken from this, pre-print version of the article) Evidence shows that resource quality can determine the costs and benefits of fear effect on consumer dynamics. However, mechanistic modeling and analysis are lacking. This paper formulates a tri-trophic level food chain...

2024-03-01

Wang, Cuihua, Yuan, Sanling, Wang, Hao

Abstract from Author: "Plants in arid environments have evolved many strategies to resist drought. Among them, the developed water storage tissue is an essential characteristic of xerophytes. To clarify the role of water storage capacity in plant performance, we originally formulate a...

2024-04-02

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...

2024-02-01

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...

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...

2024-02-05

Heggerud, Christopher M., Xu, Jingjing, Wang, Hao, Lewis, Mark A., Zurawell, Ron W., Loewen, Charlie J. G., Vinebrooke, Rolf D., Ramazi, Pouria

Abstract (description taken from article) Toxic cyanobacterial blooms (CBs) are becoming more frequent globally, posing a threat to freshwater ecosystems. While making long-range forecasts is overly challenging, predicting imminent CBs is possible from precise monitoring data of the underlying...