TY - JOUR
T1 - Global stability of nonhomogeneous coexisting equilibrium state for the multispecies Lotka–Volterra mutualism models with diffusion
AU - Vargas-De-León, Cruz
N1 - Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.
PY - 2022/3/15
Y1 - 2022/3/15
N2 - A diffusive multispecies Lotka–Volterra mutualism model is studied in this paper, where the mutualistic interaction coefficients and the diffusion coefficient are spatially heterogeneous. The architecture of these models is one of a hyper-connected central species that interacts with n − 1 peripheral species, but the peripheral species do not interact with each other. By using Lyapunov functional method, the global asymptotic stability of the nonhomogeneous coexisting equilibrium state is established. We extend our results to the multispecies mutualism model in which interaction and diffusion coefficients are spatially homogeneous.
AB - A diffusive multispecies Lotka–Volterra mutualism model is studied in this paper, where the mutualistic interaction coefficients and the diffusion coefficient are spatially heterogeneous. The architecture of these models is one of a hyper-connected central species that interacts with n − 1 peripheral species, but the peripheral species do not interact with each other. By using Lyapunov functional method, the global asymptotic stability of the nonhomogeneous coexisting equilibrium state is established. We extend our results to the multispecies mutualism model in which interaction and diffusion coefficients are spatially homogeneous.
KW - Lotka–Volterra equation
KW - Lyapunov functional method
KW - diffusive multispecies mutualism model
KW - nonconstant equilibrium solution
KW - spatially heterogeneous
UR - http://www.scopus.com/inward/record.url?scp=85117935061&partnerID=8YFLogxK
U2 - 10.1002/mma.7912
DO - 10.1002/mma.7912
M3 - Artículo
AN - SCOPUS:85117935061
SN - 0170-4214
VL - 45
SP - 2123
EP - 2131
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 4
ER -