MATHEMATICAL ANALYSIS OF HUANGLONGBING TRANSMISSION MODEL IN A PERIODIC ENVIRONMENT

Khaled Boudjema Djeffal (), Salih Djilali, Nadia Gul, Zahid Ahmad () and Tareq Saeed ()
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Khaled Boudjema Djeffal: Department of Mathematics, Faculty of Exact Sciences and Computer Science, Hassiba Benbouali University, Chlef 02000, Algeria
Salih Djilali: Department of Mathematics, Faculty of Exact Sciences and Computer Science, Hassiba Benbouali University, Chlef 02000, Algeria†Laboratoire d’Analyse Non Linéaire et, Mathématiques Appliquées, Université de Tlemcen, Tlemcen, Algeria
Nadia Gul: ��Department of Mathematics, Shaheed Benazir Bhutto Women University, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan
Zahid Ahmad: �Department of Mathematics, COMSATS University Islamabad, Abbottabad, 22060, Khyber Pakhtunkhwa, Pakistan
Tareq Saeed: �Financial Mathematics and Actuarial Science, (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-16

Abstract: Huanglongbing infection (HLB) or citrus greening and more rarely yellow shoot disease is a fatal bacterial disease of citrus. Our objective in this study is to propose a mathematical model to predict the outbreak of Huanglongbing (HLB) infection with Logistic growth in psyllid insect vectors to predict the transmission of this disease among citrus. Indeed, we considered the periodic environment to model the seasonality of the spread of the disease. In this regard, an explicit expression of the reproductive number R0 is obtained, which has been used for analyzing the behavior of the model in the cases when R0 > 1 and R0 < 1. The mathematical findings are supported using numerical illustrations.

Keywords: Huanglongbing; Reproductive Number; Stability; Periodic Solution; The Phase Portrait; The Vector Field (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400807

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