Stability analysis of a modified general SEIR model with harmonic mean type of incidence rate
A generalized SEIR epidemic dynamical model is developed to study the transmission of infectious diseases. The model includes a harmonic incidence rate. The model has been built using strong mathematical conclusions regarding stability. The model includes three equilibrium points: a disease free equ...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682500821X |
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| Summary: | A generalized SEIR epidemic dynamical model is developed to study the transmission of infectious diseases. The model includes a harmonic incidence rate. The model has been built using strong mathematical conclusions regarding stability. The model includes three equilibrium points: a disease free equilibrium E0, an infection-free equilibrium E1 and an endemic equilibrium E2. Using the direct technique of Lyapunov and LaSalle’s invariance principle, we demonstrate that E0 is globally asymptotically stable if R0<1, and globally asymptotically unstable if R0>1, under specific model parameter conditions. The present study involves sensitivity analysis, as the issue provided demonstrates bifurcation. The maximal principle of Pontryagin is utilized to select the best control methods for the specified model. In conclusion, the analytical results of this study are supported and verified by numerical simulations conducted under settings that are physiologically relevant. |
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| ISSN: | 1110-0168 |