模拟宿主抗性对结构蜱虫种群动态的影响

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2020-03-31 DOI:10.5206/mase/10508
Mahnaz Alavinejad, J. Sadiku, Jianhong Wu
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引用次数: 0

摘要

对于各种蜱物种,宿主的抗性、行为和免疫反应已在生物学文献中报道,但其对蜱种群动态的影响尚未通过反映蜱完整生物学阶段的动力学模型进行数学公式化和分析。在这里,我们开发并模拟了一个延迟微分方程模型,特别关注导致梳理行为的阻力。利用正反馈时滞微分方程的谱分析方法计算了基本再现数,并在基本再现数超过单位时建立了正平衡的存在性和唯一性。我们还对这种正平衡对与梳理行为相关的参数的依赖性进行了数值和敏感性分析。我们从数值上获得了不同阶段梳理行为与平衡值之间的关系。
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Modeling the impact of host resistance on structured tick population dynamics
For a variety of tick species, the resistance, behavioural and immunological response of hosts has been reported in the biological literature but its impact on tick population dynamics has not been mathematically formulated and analyzed using dynamical models reflecting the full biological stages of ticks. Here we develop and simulate a delay differential equation model, with a particular focus on resistance resulting in grooming behaviour. We calculate the basic reproduction number using the spectral analysis of delay differential equations with positive feedback, and establish the existence and uniqueness of a positive equilibrium when the basic reproduction number exceeds unit. We also conduct numerical and sensitivity analysis about the dependence of this positive equilibrium on the the parameter relevant to grooming behaviour. We numerically obtain the relationship between grooming behaviour and equilibrium value at different stages.
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CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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