On a Network Model of Two Competitors With Applications to the Invasion and Competition of Aedes Albopictus and Aedes Aegypti Mosquitoes in the United States

DOI10.1137/19M1257950zbMath1439.35495WikidataQ111174004 ScholiaQ111174004MaRDI QIDQ5107199

Shigui Ruan, Canrong Tian, Zu Han Liu

Publication date: 17 April 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

networkcompetitionglobal stabilitybiological invasiondiscrete Laplacian operator

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) General biology and biomathematics (92B05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Dynamics in a delayed competition system on a weighted network ⋮ Global stability of a networked predator-prey model ⋮ Patterns in the predator–prey system with network connection and harvesting policy ⋮ Stability of Turing bifurcation in a weighted networked reaction-diffusion system

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