Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal

doi:10.1111/sapm.70007

	Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal
	Wang, Jie 1; Guo, Jinfen 1; Zhu, Chuanhui 1; Wang, Shuang-Ming2
	2025-01
发表期刊	Studies in Applied Mathematics
卷号	154 期号:1
摘要	To investigate the spatial dynamics of viruses propagating between host cells, the current paper is devoted to studying the existence and nonexistence of viral waves for a reaction–diffusion and May–Nowak system with hybrid dispersal. Specifically, we define a critical wave speed (Formula presented.) threshold to determine the existence of traveling waves when the viral infection reproduction number (Formula presented.). By employing the upper/lower solutions along with the Schauder's fixed-point theorem, the existence of traveling waves connecting the uninfected and infected states is determined for each wave speed (Formula presented.). Conversely, nonexistence is demonstrated through the application of the negative one-sided Laplace transform for the case (Formula presented.). The nonexistence of traveling waves in the (Formula presented.) case is also demonstrated. Finally, some novel coupled numerical algorithms are developed to analyze the traveling viral waves and asymptotic spreading speed of the model on account of the actual hybrid dispersal features, which strongly shows that the introduction of nonlocal dispersal will accelerate viral infection. © 2025 Wiley Periodicals LLC.
关键词	Laplace transforms 'current Host cells Hybrid local and nonlocal dispersal May–nowak viral model Nonlocal dispersal Spatial dynamics Traveling wave solution Travelling waves Viral infections Wavespeed
DOI	10.1111/sapm.70007
收录类别	EI ; SCIE
ISSN	0022-2526
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:001460935900001
出版者	John Wiley and Sons Inc
EI入藏号	20250217664752
EI主题词	Fixed point arithmetic
EI分类号	1201.3 ; 1201.5
原始文献类型	Journal article (JA)
EISSN	1467-9590
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/38754
专题	信息工程与人工智能学院
通讯作者	Wang, Jie
作者单位	1.Department of Applied Mathematics, Lanzhou University of Technology, Gansu, Lanzhou, China; 2.School of Finance, Lanzhou University of Finance and Economics, Gansu, Lanzhou, China
推荐引用方式 GB/T 7714	Wang, Jie,Guo, Jinfen,Zhu, Chuanhui,et al. Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal[J]. Studies in Applied Mathematics,2025,154(1).
APA	Wang, Jie,Guo, Jinfen,Zhu, Chuanhui,&Wang, Shuang-Ming.(2025).Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal.Studies in Applied Mathematics,154(1).
MLA	Wang, Jie,et al."Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal".Studies in Applied Mathematics 154.1(2025).