Bio-inspired algorithm integrated with sequential quadratic programming to analyze the dynamics of hepatitis B virus

IF 2.5 Q2 MULTIDISCIPLINARY SCIENCES
Muhammad Shoaib, Rafia Tabassum, Muhammad Asif Zahoor Raja, Kottakkaran Sooppy Nisar
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引用次数: 0

Abstract

Background

There are a variety of lethal infectious diseases that are seriously affecting people's lives worldwide, particularly in developing countries. Hepatitis B, a fatal liver disease, is a contagious disease spreading globally. In this paper, a new hybrid approach of feed forward neural networks is considered to investigate aspects of the SEACTR (susceptible, exposed, acutely infected, chronically infected, treated, and recovered) transmission model of hepatitis B virus disease (HBVD). The combination of genetic algorithms and sequential quadratic programming, namely CGASQP, is applied, where genetic algorithm (GA) is used as the main optimization algorithm and sequential quadratic programming (SQP) is used as a fast-searching algorithm to fine-tune the outcomes obtained by GA. Considering the nature of HBVD, the whole population is divided into six compartments. An activation function based on mean square errors (MSEs) is constructed for the best performance of CGASQP using proposed model.

Results

The solution's confidence is boosted through comparative analysis with reference to the Adam numerical approach. The results revealed that approximated results of CGASQP overlapped the reference approach up to 3–9 decimal places. The convergence, resilience, and stability characteristics are explored through mean absolute deviation (MAD), Theil’s coefficient (TIC), and root mean square error (RMSE), as well as minimum, semi-interquartile range, and median values with respect to time for the nonlinear proposed model. Most of these values lie around 10−10–10−4 for all classes of the model.

Conclusion

The results are extremely encouraging and indicate that the CGASQP framework is very effective and highly feasible for implementation. In addition to excellent reliability and level of precision, the developed CGASQP technique also stands out for its simplicity, wider applicability, and flexibility.

结合序列二次编程的生物启发算法分析乙型肝炎病毒的动态变化
有多种致命的传染病严重影响着全世界人民的生活,尤其是发展中国家人民的生活。乙型肝炎是一种致命的肝病,也是一种在全球蔓延的传染性疾病。本文考虑采用一种新的前馈神经网络混合方法来研究乙型肝炎病毒病(HBVD)的 SEACTR(易感者、暴露者、急性感染者、慢性感染者、治疗者和康复者)传播模型的各个方面。应用遗传算法和顺序二次编程(即 CGASQP)的组合,其中遗传算法(GA)用作主要优化算法,顺序二次编程(SQP)用作快速搜索算法,以微调 GA 得到的结果。考虑到 HBVD 的性质,整个种群被分为六个部分。利用提出的模型,构建了基于均方误差(MSE)的激活函数,以实现 CGASQP 的最佳性能。通过与 Adam 数值方法的对比分析,提高了解决方案的可信度。结果表明,CGASQP 的近似结果与参考方法的重合度高达小数点后 3-9 位。通过平均绝对偏差(MAD)、Theil 系数(TIC)、均方根误差(RMSE)以及与时间相关的最小值、半四分位间范围和中位值,探讨了非线性拟议模型的收敛性、弹性和稳定性特征。对于所有类别的模型,这些值大多在 10-10-10-4 左右。这些结果非常令人鼓舞,表明 CGASQP 框架非常有效,实施起来非常可行。除了出色的可靠性和精确度外,所开发的 CGASQP 技术还具有简便性、广泛的适用性和灵活性。
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来源期刊
CiteScore
2.60
自引率
0.00%
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0
期刊介绍: Beni-Suef University Journal of Basic and Applied Sciences (BJBAS) is a peer-reviewed, open-access journal. This journal welcomes submissions of original research, literature reviews, and editorials in its respected fields of fundamental science, applied science (with a particular focus on the fields of applied nanotechnology and biotechnology), medical sciences, pharmaceutical sciences, and engineering. The multidisciplinary aspects of the journal encourage global collaboration between researchers in multiple fields and provide cross-disciplinary dissemination of findings.
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