Threshold dynamics of a reaction-diffusion-advection schistosomiasis model with seasonality

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2026-12-01 Epub Date: 2026-02-04 DOI:10.1016/j.nonrwa.2026.104617

Yijie Zha , Xun Cao

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Abstract

This paper proposes a reaction-diffusion-advection schistosomiasis model with seasonality based on the life cycle of schistosomiasis (humans, eggs, snails, and cercariae). Using the next generation operator theory, we define the basic reproduction number

R_{0}

that characterizes the transmission potential of schistosomiasis, and further reveal the threshold dynamics of the system through the monotone dynamical system theory. Specifically, if

R_{0} \leq 1

, the disease-free periodic solution is globally asymptotically stable, meaning that schistosomiasis will die out; if

R_{0} > 1

, the system admits a unique positive periodic solution that is globally asymptotically stable, indicating that the disease will break out. Numerically, we use data from Ourinhos, Brazil, to analyze the impact of diffusion rates, spatial heterogeneity, advection rates, and seasonality on the transmission of schistosomiasis.

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具有季节性的反应-扩散-平流型血吸虫病模型的阈值动力学

基于血吸虫病的生命周期（人、卵、螺、尾蚴），提出了具有季节性的反应-扩散-平流血吸虫病模型。利用下一代算符理论，定义了表征血吸虫病传播潜力的基本繁殖数R0，并通过单调动力系统理论进一步揭示了系统的阈值动力学。具体地说，当R0≤1时，无病周期解全局渐近稳定，意味着血吸虫病将消失；若R0>；1，系统存在唯一的正周期解，且该解全局渐近稳定，表明疾病将爆发。数值上，我们使用来自巴西Ourinhos的数据来分析扩散率、空间异质性、平流率和季节性对血吸虫病传播的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.