Wang Ning, Zhang Long, Luo Yantao, Teng Zhidong
College of Mathematics and Systems Science, Xinjiang University, Urumqi, 830017, PR China.
College of Medical Engineering and Technology, Xinjiang Medical University, Urumqi, 830017, PR China.
Infect Dis Model. 2025 Jul 7;10(4):1291-1306. doi: 10.1016/j.idm.2025.07.002. eCollection 2025 Dec.
In this paper, a SVEIRDP epidemic model is proposed to investigate the transmission dynamics of Ebola by cumulative release from the infected individuals and corpses in the form of infinite integrals. First, the positivity and ultimate boundedness of solutions are proved. Second, the basic reproduction number is calculated. Furthermore, it is proven that if , the model has the disease-free equilibrium and is globally asymptotically stable (GAS); If , the unique endemic equilibrium is GAS. To clearly illustrate the theoretical results, real data are used to conduct numerical simulations. We discover that modeling the cumulative release of Ebola from the infected individuals and corpses using the infinite integral with an appropriate probability density function (PDF) provides a more realistic and accurate representation of the actual disease spread.
本文提出了一个SVEIRDP传染病模型，以通过以无穷积分形式从受感染个体和尸体中累积释放来研究埃博拉病毒的传播动力学。首先，证明了解的正性和最终有界性。其次，计算了基本再生数。此外，证明了如果 ，该模型具有无病平衡点且全局渐近稳定（GAS）；如果 ，唯一的地方病平衡点是全局渐近稳定的。为了清楚地说明理论结果，使用实际数据进行数值模拟。我们发现，使用具有适当概率密度函数（PDF）的无穷积分对埃博拉病毒从受感染个体和尸体中的累积释放进行建模，可以更现实、准确地反映实际疾病传播情况。
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