Mathematical Modeling of Lymphatic Filariasis with Quarantine Measures, Treatment Protocols and Drug Resistance in Ghana

Mathematical Modeling of Lymphatic Filariasis with Quarantine Measures, Treatment Protocols and Drug Resistance in Ghana | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Mathematical Modeling of Lymphatic Filariasis with Quarantine Measures, Treatment Protocols and Drug Resistance in Ghana Samuel D. Teye, Theophilus Kwofie, Samuel Iddi, Stephen E. Moore This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9149365/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Lymphatic filariasis (elephantiasis) is a neglected tropical disease caused by parasitic worms that impair the lymphatic system and lead to severe swelling. To better understand its transmission and control, we formulate a deterministic mathematical model to study the transmission dynamics that incorporates treatment, quarantine, and the emergence of drug resistance. The human population is structured into susceptible, exposed, acutely infected, chronically infected, treated, withdrawal, and three resistance stages, while the mosquito population is divided into susceptible, exposed, and infectious classes. The model admits two main equilibrium states: the disease-free equilibrium and the endemic equilibrium. The basic reproduction number, $\mathcal{R}_0$, is derived using the next-generation matrix method. Analytical results show that the disease-free equilibrium is globally asymptotically stable whenever $\mathcal{R}_0 1$. Using Ghana's post-MDA (MAss Drug Administration) surveillance, we estimate four key parameters and three initial conditions. Sensitivity analysis, carried out using Latin Hypercube Sampling and partial rank correlation, identifies the treatment rate, resistance progression, and mosquito biting rate as the most influential factors affecting transmission. Numerical simulations further demonstrate that treatment alone achieves a greater reduction in prevalence compared to quarantine alone, while a combined intervention of treatment and quarantine yields the most significant impact. These findings suggest that integrated control strategies, particularly those accounting for drug resistance, are vital for the effective and sustainable management of lymphatic filariasis. Epidemiology lymphatic filariasis quarantine treatment resistance dynamics reproduction number sensitivity analysis Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-9149365","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":607639107,"identity":"e771f31d-e982-421d-8053-15f563484745","order_by":0,"name":"Samuel D. 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To better understand its transmission and control, we formulate a deterministic mathematical model to study the transmission dynamics \u0026nbsp;that incorporates treatment, quarantine, and the emergence of drug resistance. The human population is structured into susceptible, exposed, acutely infected, chronically infected, treated, withdrawal, and three resistance stages, while the mosquito population is divided into susceptible, exposed, and infectious classes. The model admits two main equilibrium states: the disease-free equilibrium and the endemic equilibrium. The basic reproduction number, $\\mathcal{R}_0$, is derived using the next-generation matrix method. Analytical results show that the disease-free equilibrium is globally asymptotically stable whenever $\\mathcal{R}_0 \u0026lt; 1$, while the endemic equilibrium is stable when $\\mathcal{R}_0 \u0026gt; 1$. Using Ghana's post-MDA (MAss Drug Administration) surveillance, we estimate four key parameters and three initial conditions. Sensitivity analysis, carried out using Latin Hypercube Sampling and partial rank correlation, identifies the treatment rate, resistance progression, and mosquito biting rate as the most influential factors affecting transmission. Numerical simulations further demonstrate that treatment alone achieves a greater reduction in prevalence compared to quarantine alone, while a combined intervention of treatment and quarantine yields the most significant impact. These findings suggest that integrated control strategies, particularly those accounting for drug resistance, are vital for the effective and sustainable management of lymphatic filariasis.\u003c/p\u003e","manuscriptTitle":"Mathematical Modeling of Lymphatic Filariasis with Quarantine Measures, Treatment Protocols and Drug Resistance in Ghana","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-03-18 01:56:42","doi":"10.21203/rs.3.rs-9149365/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"12fa82a5-b52d-4fd2-8aa7-af85561f51b8","owner":[],"postedDate":"March 18th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":64657605,"name":"Epidemiology"}],"tags":[],"updatedAt":"2026-03-18T01:56:42+00:00","versionOfRecord":[],"versionCreatedAt":"2026-03-18 01:56:42","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9149365","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9149365","identity":"rs-9149365","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}