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

Autor(es)

Bonotto, E. M. ^[1] ; Costa Ferreira, J. ^[1] ; Federson, M. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 31, n. 7-8, p. 519-546, JUL-AUG 2018.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 14/25970-5 - Processos de evolução com impulsos e a teoria de atratores
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 14/21224-7 - Funções de Lyapunov em sistemas descontínuos
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Auxílio à Pesquisa - Regular