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We demonstrated the model\u2019s positivity and boundedness, ensuring biological relevance. The existence and uniqueness of the model\u2019s solution were established, and we investigated the stability of the\n                    <jats:inline-formula>\n                      <jats:tex-math>$$\\alpha$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -fractional order model. Our analysis proved that the disease-free equilibrium point is locally asymptotically stable. Additionally, we showed that the model has a single endemic equilibrium point, which is globally asymptotically stable when\n                    <jats:inline-formula>\n                      <jats:tex-math>$${\\mathscr {R}}_0$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    exceeds 1. Using Latin Hypercube sampling and partial rank correlation coefficients (PRCCs), sensitivity analysis identified key parameters influencing\n                    <jats:inline-formula>\n                      <jats:tex-math>$${\\mathscr {R}}_0$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    . Numerical simulations further illustrated the impact of parameter variations on disease dynamics.\n                  <\/jats:p>","DOI":"10.1038\/s41598-024-82428-1","type":"journal-article","created":{"date-parts":[[2024,12,27]],"date-time":"2024-12-27T23:00:31Z","timestamp":1735340431000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Mathematical analysis of fractional Chlamydia pandemic model"],"prefix":"10.1038","volume":"14","author":[{"given":"Zuhur","family":"Alqahtani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Areej","family":"Almuneef","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mahmoud H.","family":"DarAssi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yousef","family":"AbuHour","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mo\u2019tassem","family":"Al-arydah","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohammad A.","family":"Safi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bashir","family":"Al-Hdaibat","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,12,28]]},"reference":[{"key":"82428_CR1","unstructured":"Centers for Disease Control and Prevention (CDC). 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