Department of Mathematics, College of Science & Arts, King Abdulaziz University, Rabigh, Saudi Arabia.
Department of Mathematics, University of Swabi, Swabi, Pakistan.
Comput Methods Biomech Biomed Engin. 2023 Sep;26(11):1294-1307. doi: 10.1080/10255842.2022.2114793. Epub 2022 Aug 25.
Drinking or recreating water that has been polluted with disease-causing organisms or pathogens is what causes waterborne infections. It should be noted that many water-borne infections can also transmit from person to person, by contact with animals or their surroundings, or by ingesting tainted food or beverages. Schistosomiasis is a water-borne infection found in different areas of the globe. Mostly people with this viral infection live in Africa with limited resources and medications. Therefore, investigation of this infection is significant to reduce its economic burden on the society. We formulated a novel epidemic model for schistosomiasis water-borne infection with the help of the Atangana-Baleanu derivative. The rudimentary theory of fractional-calculus has been presented for the analysis of our system. We start by looking at the model solution's non-negativity and uniqueness. The basic reproduction number and equilibria of the hypothesized water-borne infection model are next evaluated. Local stability of the infection-free steady-state has been established through Jacobian matrix method for In addition, the suggested model's solution is calculated using an iterative technique. Finally, we give numerical simulations for various input values to illustrate the impact of memory index and other input factors of the system. Our findings showed the influence of input parameters on the dynamical behaviour of the schistosomiasis infection. The results demonstrate the importance and persuasive behaviour of fractional order, and reveal that fractional memory effects in the model seem to be a good fit for this type of findings.
饮用或 recreaing 受致病生物或病原体污染的水会导致水源性感染。应当指出，许多水源性感染也可以通过与动物或其周围环境接触、摄入受污染的食物或饮料在人与人之间传播。血吸虫病是一种在全球不同地区发现的水源性感染。患有这种病毒感染的大多数人生活在非洲，资源有限，药物有限。因此，调查这种感染对于减轻其对社会的经济负担具有重要意义。我们在 Atangana-Baleanu 导数的帮助下为血吸虫病水源性感染制定了一个新的流行模型。分数微积分的初步理论已被提出用于我们系统的分析。我们首先研究模型解的非负性和唯一性。接下来评估假设的水源性感染模型的基本繁殖数和平衡点。通过雅可比矩阵方法确定无感染稳定状态的局部稳定性。此外，还使用迭代技术计算了建议模型的解。最后，我们给出了各种输入值的数值模拟，以说明记忆指数和系统其他输入因素对模型的影响。我们的研究结果表明，输入参数对血吸虫病感染动力学行为的影响。结果表明了分数阶的重要性和说服力，揭示了模型中的分数阶记忆效应似乎非常适合这种发现。
