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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

UNIFORM ASYMPTOTIC STABILITY OF A DISCONTINUOUS PREDATOR-PREY MODEL UNDER CONTROL VIA NON-AUTONOMOUS SYSTEMS THEORY

Author(s):
Bonotto, E. M. [1] ; Costa Ferreira, J. [1] ; Federson, M. [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 31, n. 7-8, p. 519-546, JUL-AUG 2018.
Web of Science Citations: 1
Abstract

The present paper deals with uniform stability for non autonomous impulsive systems. We consider a non-autonomous system with impulses in its abstract form and we present conditions to obtain uniform stability, uniform asymptotic stability and global uniform asymptotic stability using Lyapunov functions. Using the results from the abstract theory we present sufficient conditions for a controlled predator-prey model under impulse conditions to be globally uniformly asymptotically stable. (AU)

FAPESP's process: 14/25970-5 - Evolution processes with impulses and the attractor theory
Grantee:Everaldo de Mello Bonotto
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 14/21224-7 - Lyapunov functions in discontinuous systems
Grantee:Everaldo de Mello Bonotto
Support Opportunities: Regular Research Grants