扩散-对流耦合作用下的登革热传播动力学模型OA
Dynamic Model of Dengue Fever Transmission under Coupled Diffusion-Advection Effects
利用单调次齐性理论和链传递集理论,构建一类考虑空间异质性和风的对流效应的登革热传播模型.结果表明,基本再生数R0决定模型的全局阈值动力学:当R0≤1时,疾病灭绝;当R0＞1时,疾病持续存在.数值分析结果表明,R0随对流率呈非单调变化,且提高替代宿主密度有助于疾病防控.
We established a Dengue fever transmission model that considered spatial heterogeneity and the advective effect of wind by using the theories of monotonic homogeneity and chain transitive sets.The results show that the basic reproduction number R0 determines the global threshold dynamics of the model:when R0≤1,the disease goes extinct;when R0＞1,the disease persists.Numerical analysis results show that R0 varies non-monotonically with the advection rate,and increasing the density of alternative hosts is helpful for disease prevention and control.
刘欣欣;许月洲
西安电子科技大学数学与统计学院,西安 710126西安电子科技大学数学与统计学院,西安 710126
数理科学
登革热对流基本再生数全局阈值动力学
Dengue feveradvectionbasic reproduction numberglobal threshold dynamics
《吉林大学学报（理学版）》 2026 (1)
1-12,12
国家自然科学基金(批准号:12371501).
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