Artificial neural network-driven modeling of Ebola transmission dynamics with delays and disability outcomes.

Kamel Guedri, Rahat Zarin, Mowffaq Oreijah, Samaher Khalaf Alharbi, Hamiden Abd El-Wahed Khalifa
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Abstract

This study develops an Artificial Neural Network (ANN)-based framework to model the transmission dynamics and long-term disability outcomes of Ebola Virus Disease (EVD). Building on existing deterministic SEIR models, we extend the framework by introducing a disability compartment, capturing the progression of Ebola survivors to chronic health complications, such as post-Ebola syndrome. The proposed model stratifies the population into various epidemiological states, incorporating delays to better reflect the natural progression and intervention strategies associated with EVD. Fundamental properties of the model, such as positivity, boundedness, and stability, have been thoroughly examined. By leveraging the Levenberg-Marquardt backpropagation (LMB) algorithm, the ANN is trained on data generated through the Runge-Kutta method to solve a system of delay differential equations (DDEs) representing disease progression. This approach offers an alternative to conventional numerical solvers, addressing limitations such as computational overhead and approximation errors. The ANN model divides the dataset into 85% training, 10% validation, and 5% testing, ensuring reliable predictions with minimal absolute error. Comparative analysis against traditional methods highlights the advantages of the ANN-based solver in handling complex, delay-integrated systems. Our results underscore the utility of integrating ANN approaches in epidemic modeling, providing insights into both short- and long-term dynamics of Ebola outbreaks. By capturing disability outcomes, this work offers a robust framework for planning healthcare interventions and optimizing resource allocation for survivor rehabilitation. The findings contribute to the development of more comprehensive models for understanding and managing infectious diseases with long-term impacts.

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具有延迟和致残结果的埃博拉传播动力学的人工神经网络驱动建模。
本研究开发了一个基于人工神经网络(ANN)的框架来模拟埃博拉病毒病(EVD)的传播动态和长期残疾结果。在现有确定性SEIR模型的基础上,我们通过引入残疾隔间扩展了框架,捕捉埃博拉幸存者发展为慢性健康并发症(如埃博拉后综合征)的进展情况。该模型将人群划分为不同的流行病学状态,并纳入延迟以更好地反映与EVD相关的自然进展和干预策略。模型的基本性质,如正性、有界性和稳定性,已经被彻底地检验了。利用Levenberg-Marquardt反向传播(LMB)算法,利用龙格-库塔方法生成的数据对人工神经网络进行训练,以求解代表疾病进展的延迟微分方程(DDEs)系统。这种方法提供了一种替代传统数值求解的方法,解决了计算开销和近似误差等限制。人工神经网络模型将数据集分为85%的训练,10%的验证和5%的测试,确保以最小的绝对误差进行可靠的预测。通过与传统方法的对比分析,突出了基于人工神经网络的求解器在处理复杂、延迟集成系统方面的优势。我们的研究结果强调了将人工神经网络方法整合到流行病建模中的效用,为埃博拉疫情的短期和长期动态提供了见解。通过捕获残疾结果,这项工作为规划医疗干预和优化幸存者康复资源分配提供了一个强大的框架。这些发现有助于开发更全面的模型,以了解和管理具有长期影响的传染病。
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