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Fractional-Order Modeling of Dengue Virus Dynamics with Predator-Prey Interactions
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DOI：10.17576/jsm-2026-5504-12.png)
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Abstract
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This study analyzes a Caputo-Fabrizio fractional differential model to capture dengue transmission dynamics, incorporating predator-prey interactions. The analysis confirms the existence, uniqueness, and positivity of solutions, establishing the model as biologically meaningful and well-posed. The disease-free equilibrium is identified, and its asymptotic stability is evaluated under specific conditions. An implicit numerical scheme is proposed, and its performance is compared to the two-step Adams-Bashforth scheme, showing enhanced accuracy and stability. Parameter estimation through model fitting aligns the model with observed real-world data. Sensitivity analysis using Latin Hypercube Sampling-Partial Rank Correlation Coefficient (LHS-PRCC) shows key parameters influencing the dynamics of dengue transmission. The results show that while predator-prey interactions help mitigate dengue transmission, they are insufficient for complete disease eradication. This highlights the need for complementary control measures, such as vector control, public health education, and improved healthcare systems, to effectively reduce transmission.
Keywords:
Numerical scheme
predator-prey
sensitivity analysis
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