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Ganglionic stimulants activate NM nicotinic receptors in autonomic ganglia, falling into two categories: nicotine mimetics [e.g., lobeline, dimethylpiperazine, tetramethylammonium] and muscarinic receptor agonists [e.g., muscarine, methacholine]. The first category's action is rapid and blocked by nicotinic receptor antagonists, while the second category's action is delayed and blocked by atropine-like agents. Nicotine, an alkaloid, affects the heart rate by stimulating...
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含有吸烟类的烟草吸烟模型

Viswanathan Padmavathi1, Kandaswami Alagesan2, Samad Noeiaghdam3,4

  • 1Department of Mathematics, Thangavel Womens Arts and Science College, Salem - 636 106, Tamil Nadu, India.

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概括

研究人员使用了q-homotopy分析转换方法与Atangana-Baleanu-Caputo分数衍生物来建模烟草吸烟及其对传染病的影响. 这种方法提供了准确的解决方案和图形洞察力,以了解疾病动态.

关键词:
34F0505 其他 其他37M0505 这是一个很好的方法.92D3030 92D3030 92D3030 92D3030 92D3030 92D3030 92D3030 92D30阿坦加纳 - 巴莱努 - 卡普托 (ABC) 衍生品流行病模型的流行病模型.数学模型的数学模型.烟草吸烟模型的使用q-同位素分析转换方法 (q-HATM)

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科学领域:

  • 数学建模的数学建模
  • 流行病学 流行病学
  • 分数微积分的微积分计算.

背景情况:

  • 破坏性疾病构成全球威胁,需要有效的医疗干预.
  • 与烟草有关的疾病会损害免疫系统,增加对COVID-19等感染的脆弱性.

研究的目的:

  • 应用q-homotopy分析转换方法 (q-HAT) 与Atangana-Baleanu-Caputo (ABC) 分数导数来模型烟草吸烟.
  • 分析感染性疾病模型,考虑烟草使用的影响.
  • 为了解疾病动态提供准确的解决方案和图形表示.

主要方法:

  • 使用q-同位素分析转换方法 (q-HAT).
  • 雇佣了阿塔干纳-巴莱努-卡普托 (ABC) 分数衍生品运营商.
  • 生成图形插图和表格来呈现结果.

主要成果:

  • 该研究提出了准确的网格点结果和数学模型的修复.
  • 图形插图展示了系统在收区内的准确性.
  • 分数导数方法有助于理解烟草使用的传染模式.

结论:

  • 结合q-HAT方法和ABC分数导数,为分析与烟草使用相关的传染病模型提供了强大的框架.
  • 这些发现有助于更好地了解疾病行为和在公共卫生中使用分数衍生物的潜在现实应用.
  • 图形和数值结果验证了模型的准确性和预测能力.