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A vector-borne diseases model with dual vertical transmission and Logistic growth for vector
- LI Lu, ZHANG Ruixia
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JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2025, 60(4):
93-103.
doi:10.6040/j.issn.1671-9352.0.2023.442
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Vector-borne diseases are infectious diseases transmitted by vectors, and mosquito-borne diseases are the most common. Considering the dual vertical transmission of host and vector and Logistic growth for vector, the authors establish a vector-borne disease transmission model, calculate the basic reproduction number, analyze the existence and global stability of the equilibrium points, and show that when R0<1, the disease-free equilibrium is globally asymptotically stable, and when R0>1, the positive equilibrium is globally asymptotically stable. Finally, the numerical simulation verifies the conclusion, and reveals that when the vector is growing with Logistic, if the mosquito is not killed, the vector-borne disease is always present, and when the mosquito killing rate reaches a certain proportion, the vector-borne disease would eventually die out, and improving the killing rate of mosquitoes will have a positive impact on the prevention and control of infectious diseases.