Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies
Hepatitis B Virus (HBV) is a continued threat to mankind's health killing hundreds of thousands of people every year and thus calls for control and prevention measures to be put in place. This research constructs a deterministic mathematical model to capture the transmission dynamics of HBV and...
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| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025001240 |
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| author | James Khobocha Mirgichan Cyrus Gitonga Ngari Stephen Karanja Robert Muriungi |
| author_facet | James Khobocha Mirgichan Cyrus Gitonga Ngari Stephen Karanja Robert Muriungi |
| author_sort | James Khobocha Mirgichan |
| collection | DOAJ |
| description | Hepatitis B Virus (HBV) is a continued threat to mankind's health killing hundreds of thousands of people every year and thus calls for control and prevention measures to be put in place. This research constructs a deterministic mathematical model to capture the transmission dynamics of HBV and embracing the control measures including universal immunization of the infants at birth, screening, as well as treatment of the both the acute and chronic cases. We employ the NGM technique to estimate the control reproduction number Rc and also study the stability of the IFE. The study findings revealed the fact that the IFE is both locally and globally asymptotic stability if Rc < 1. The results derived from analytical and numerical analysis revealed that having higher vaccination coverage, better screening and more efforts invested in the treatment active reduce HBV cases. Also, exposure to past immunities through passive action on the part of newborns has a significant responsibility to bear concerning the management of HBV transference. Therefore, our research findings indicate that multiple interventions can go a long way towards eliminating the ravages of HBV in the general population and consequently enhancing the general wellbeing of the population. The future work includes taking co-infections, different degrees of compliance, and age structured models into account for the elaboration of the study. Some of the limitations include: A Constant mixing volume is assumed while this may not be true throughout the entire volume Mixing parameters are also assumed to be constant while in reality they may not be so. |
| format | Article |
| id | doaj-art-f8ba72f37d4745fa89cc6bb542868835 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-f8ba72f37d4745fa89cc6bb5428688352025-02-02T05:28:04ZengElsevierHeliyon2405-84402025-01-01112e41744Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategiesJames Khobocha Mirgichan0Cyrus Gitonga Ngari1Stephen Karanja2Robert Muriungi3Meru University of Science and Technology, P.O.BOX 26, Marsabit, Kenya; Corresponding author.Kirinyaga University, P.O.BOX 143-10300, Kerugoya, KenyaMeru University of Science and Technology, P.O.BOX 972-60200, Meru, KenyaMeru University of Science and Technology, P.O.BOX 972-60200, Meru, KenyaHepatitis B Virus (HBV) is a continued threat to mankind's health killing hundreds of thousands of people every year and thus calls for control and prevention measures to be put in place. This research constructs a deterministic mathematical model to capture the transmission dynamics of HBV and embracing the control measures including universal immunization of the infants at birth, screening, as well as treatment of the both the acute and chronic cases. We employ the NGM technique to estimate the control reproduction number Rc and also study the stability of the IFE. The study findings revealed the fact that the IFE is both locally and globally asymptotic stability if Rc < 1. The results derived from analytical and numerical analysis revealed that having higher vaccination coverage, better screening and more efforts invested in the treatment active reduce HBV cases. Also, exposure to past immunities through passive action on the part of newborns has a significant responsibility to bear concerning the management of HBV transference. Therefore, our research findings indicate that multiple interventions can go a long way towards eliminating the ravages of HBV in the general population and consequently enhancing the general wellbeing of the population. The future work includes taking co-infections, different degrees of compliance, and age structured models into account for the elaboration of the study. Some of the limitations include: A Constant mixing volume is assumed while this may not be true throughout the entire volume Mixing parameters are also assumed to be constant while in reality they may not be so.http://www.sciencedirect.com/science/article/pii/S2405844025001240Hepatitis B transmission dynamicsPassive immunityControl strategiesMathematical modelingVaccination impactReproduction number |
| spellingShingle | James Khobocha Mirgichan Cyrus Gitonga Ngari Stephen Karanja Robert Muriungi Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies Heliyon Hepatitis B transmission dynamics Passive immunity Control strategies Mathematical modeling Vaccination impact Reproduction number |
| title | Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies |
| title_full | Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies |
| title_fullStr | Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies |
| title_full_unstemmed | Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies |
| title_short | Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies |
| title_sort | mathematical modeling and simulation of hepatitis b transmission dynamics with passive immunity and control strategies |
| topic | Hepatitis B transmission dynamics Passive immunity Control strategies Mathematical modeling Vaccination impact Reproduction number |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025001240 |
| work_keys_str_mv | AT jameskhobochamirgichan mathematicalmodelingandsimulationofhepatitisbtransmissiondynamicswithpassiveimmunityandcontrolstrategies AT cyrusgitongangari mathematicalmodelingandsimulationofhepatitisbtransmissiondynamicswithpassiveimmunityandcontrolstrategies AT stephenkaranja mathematicalmodelingandsimulationofhepatitisbtransmissiondynamicswithpassiveimmunityandcontrolstrategies AT robertmuriungi mathematicalmodelingandsimulationofhepatitisbtransmissiondynamicswithpassiveimmunityandcontrolstrategies |