<doi_batch xmlns="http://www.crossref.org/schema/4.4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" version="4.4.0"><head><doi_batch_id>293b9123-5584-4235-849c-80c8cd181636</doi_batch_id><timestamp>20250107073259414</timestamp><depositor><depositor_name>wseas:wseas</depositor_name><email_address>mdt@crossref.org</email_address></depositor><registrant>MDT Deposit</registrant></head><body><journal><journal_metadata language="en"><full_title>WSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE</full_title><issn media_type="electronic">2224-2902</issn><issn media_type="print">1109-9518</issn><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23208</doi><resource>http://wseas.org/wseas/cms.action?id=4011</resource></doi_data></journal_metadata><journal_issue><publication_date media_type="online"><month>1</month><day>7</day><year>2025</year></publication_date><publication_date media_type="print"><month>1</month><day>7</day><year>2025</year></publication_date><journal_volume><volume>22</volume><doi_data><doi>10.37394/23208.2025.22</doi><resource>https://wseas.com/journals/bab/2025.php</resource></doi_data></journal_volume></journal_issue><journal_article language="en"><titles><title>Analysis of Stability in a Delay Differential Equation Model for Malaria InfectionWith Treatment</title></titles><contributors><person_name sequence="first" contributor_role="author"><given_name>Karim</given_name><surname>Amin</surname><affiliation>Department of Mathematics and Physics Lebanese International University Bekaa Campus, Al-Khyara, P.O. Box 5, LEBANON</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Yahia</given_name><surname>Awad</surname><affiliation>Department of Mathematics and Physics Lebanese International University Bekaa Campus, Al-Khyara, P.O. Box 5, LEBANON</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Ragheb</given_name><surname>Mghames</surname><affiliation>Department of Mathematics and Physics Lebanese International University Bekaa Campus, Al-Khyara, P.O. Box 5, LEBANON</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Samia</given_name><surname>Mrad</surname><affiliation>Department of Mathematics and Physics Lebanese International University Bekaa Campus, Al-Khyara, P.O. Box 5, LEBANON</affiliation></person_name></contributors><jats:abstract xmlns:jats="http://www.ncbi.nlm.nih.gov/JATS1"><jats:p>In this paper, we introduce a biological model employing delay differential equations to explore the evolution of malaria within a host undergoing drug treatment. Our analysis focuses on the stability of equilibrium points, leveraging the critical case theorem, an extension of the Lyapunov-Malkin theorem, which is particularly useful for scenarios involving zero roots in the characteristic equation. By determining equilibrium points and assessing their stability through the eigenvalues of the linearized system, we ensure the applicability of the theorem via translations to zero. 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