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<p>Motivated by the invasion of <i>Aedes albopictus</i> mosquitoes and the interspecific competition between <i>Aedes aegypti</i> and <i>Aedes albopictus</i> in Florida, we formulate a two-species competition model on a compact metric graph. This model accounts for the species’ ability to inhabit and traverse along the graph’s edges. In the scenario of weak-strong competition, we prove that solutions of the competition model converge uniformly to a semi-positive equilibrium, where either <i>Aedes albopictus</i> survives while <i>Aedes aegypti</i> goes extinct, or vice versa. Whereas for weak-weak competition, the solutions converge uniformly to a positive equilibrium, enabling the coexistence of both <i>Aedes aegypti</i> and <i>Aedes albopictus</i>. We conduct numerical simulations on the two-species competition model along Route 441 in Florida, aiming to illustrate the invasion dynamics and competitive interactions of <i>Aedes aegypti</i> and <i>Aedes albopictus</i>.</p>

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A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月23日

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  • Canrong Tian,
  • Lan Zou,
  • Shigui Ruan

摘要

Motivated by the invasion of Aedes albopictus mosquitoes and the interspecific competition between Aedes aegypti and Aedes albopictus in Florida, we formulate a two-species competition model on a compact metric graph. This model accounts for the species’ ability to inhabit and traverse along the graph’s edges. In the scenario of weak-strong competition, we prove that solutions of the competition model converge uniformly to a semi-positive equilibrium, where either Aedes albopictus survives while Aedes aegypti goes extinct, or vice versa. Whereas for weak-weak competition, the solutions converge uniformly to a positive equilibrium, enabling the coexistence of both Aedes aegypti and Aedes albopictus. We conduct numerical simulations on the two-species competition model along Route 441 in Florida, aiming to illustrate the invasion dynamics and competitive interactions of Aedes aegypti and Aedes albopictus.