An SIS sex-structured influenza A model with positive case fatality in an open population with varying size
This work aims to study the role of sex disparities on the overall outcome of influenza A disease. Therefore, the classical Susceptible-Infected-Susceptible (SIS) endemic model was extended to include the impact of sex disparities on the overall dynamics of influenza A infection which spreads in an...
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AIMS Press
2024-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024306 |
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| author | Muntaser Safan Bayan Humadi |
| author_facet | Muntaser Safan Bayan Humadi |
| author_sort | Muntaser Safan |
| collection | DOAJ |
| description | This work aims to study the role of sex disparities on the overall outcome of influenza A disease. Therefore, the classical Susceptible-Infected-Susceptible (SIS) endemic model was extended to include the impact of sex disparities on the overall dynamics of influenza A infection which spreads in an open population with a varying size, and took the potential lethality of the infection. The model was mathematically analyzed, where the equilibrium and bifurcation analyses were established. The model was shown to undergo a backward bifurcation at $ \mathcal{R}_0 = 1 $, for certain range of the model parameters, where $ \mathcal{R}_0 $ is the basic reproduction number of the model. The asymptotic stability of the equilibria was numerically investigated, and the effective threshold was determined. The differences in susceptibility, transmissibility and case fatality (of females with respect to males) are shown to remarkably affect the disease outcomes. Simulations were performed to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-6b33cdba15cd4a73a09872b3dba25852 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-6b33cdba15cd4a73a09872b3dba258522025-01-23T07:47:47ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-08-012186975701110.3934/mbe.2024306An SIS sex-structured influenza A model with positive case fatality in an open population with varying sizeMuntaser Safan0Bayan Humadi1Mathematics Department, Faculty of Science, Umm Al-Qura University, Makkah 21955, KSAMathematics Department, Faculty of Science, Umm Al-Qura University, Makkah 21955, KSAThis work aims to study the role of sex disparities on the overall outcome of influenza A disease. Therefore, the classical Susceptible-Infected-Susceptible (SIS) endemic model was extended to include the impact of sex disparities on the overall dynamics of influenza A infection which spreads in an open population with a varying size, and took the potential lethality of the infection. The model was mathematically analyzed, where the equilibrium and bifurcation analyses were established. The model was shown to undergo a backward bifurcation at $ \mathcal{R}_0 = 1 $, for certain range of the model parameters, where $ \mathcal{R}_0 $ is the basic reproduction number of the model. The asymptotic stability of the equilibria was numerically investigated, and the effective threshold was determined. The differences in susceptibility, transmissibility and case fatality (of females with respect to males) are shown to remarkably affect the disease outcomes. Simulations were performed to illustrate the theoretical results.https://www.aimspress.com/article/doi/10.3934/mbe.2024306sis modelequilibriacase fatalitybackward bifurcationeffective thresholdsex and gender disparitiesinfluenza a |
| spellingShingle | Muntaser Safan Bayan Humadi An SIS sex-structured influenza A model with positive case fatality in an open population with varying size Mathematical Biosciences and Engineering sis model equilibria case fatality backward bifurcation effective threshold sex and gender disparities influenza a |
| title | An SIS sex-structured influenza A model with positive case fatality in an open population with varying size |
| title_full | An SIS sex-structured influenza A model with positive case fatality in an open population with varying size |
| title_fullStr | An SIS sex-structured influenza A model with positive case fatality in an open population with varying size |
| title_full_unstemmed | An SIS sex-structured influenza A model with positive case fatality in an open population with varying size |
| title_short | An SIS sex-structured influenza A model with positive case fatality in an open population with varying size |
| title_sort | sis sex structured influenza a model with positive case fatality in an open population with varying size |
| topic | sis model equilibria case fatality backward bifurcation effective threshold sex and gender disparities influenza a |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024306 |
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