1995/06/01 by Sze-Bi Hsu, Sze‐Bi Hsu, Tzy-Wei Huang · 1 citation
Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Applied mathematics #Biology #Class (philosophy) #Computer science #Control theory (sociology) #Ecology #Exponential stability #Liapunov function #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear Differential Equations Analysis #Nonlinear system #Physics #Predation #Predator #Stability (learning theory) #Stability theory
paper · doi:10.1137/s0036139993253201
crossref issued 1995/06/01 · crossref published 1995/06/01 · crossref published-print 1995/06/01 · openalex publication_date 1995/06/01 · crossref created 2005/02/24 · crossref deposited 2017/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31 · crossref indexed 2026/08/01
This paper deals with the question of global stability of the positive locally asymptotically stable equilibrium in a class of predator-prey systems. The Dulac’s criterion is applied and Liapunov functions are constructed to establish the global stability.