Threshold dynamics of a vector-bias malaria model with time-varying delays in environments of almost periodicity

• Published in: Nonlinear analysis: real world applications Vol. 78; p. 104078
• Main Authors: He, Bing, Wang, Qi-Ru
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2024
• Subjects: A malaria model having vector bias; Basic reproduction ratio; Global stability; Skew-product semiflow; Time-varying delays and an almost periodic environment; Skew-product semiflow; A malaria model having vector bias; Time-varying delays and an almost periodic environment; Global stability; Basic reproduction ratio
• ISSN: 1468-1218; 1878-5719
• DOI: 10.1016/j.nonrwa.2024.104078

A malaria transmission model having vector bias and time-dependent delays in environments of almost periodicity is considered. The basic reproduction ratio R0 is presented, and the threshold dynamic is characterized by R0. By using the theories of skew-product semiflows, chain transitive sets, and subhomogeneous and monotone systems, it is proved that the model has only one positive almost periodic solution with global asymptotic stability provided R0>1, and the almost periodic (disease-free) solution has global asymptotic stability provided R0<1. In addition, some numerical simulations are given.