3 papers
q-bio.PE2025
On the Geographic Spread of Chikungunya between Brazil and Florida: A Multi-patch Model with Time Delay
Antonio Gondim, Xi Huo, Jaqueline Mesquita +1
Chikungunya (CHIK) is a viral disease transmitted to humans through the bites of {\it Aedes} mosquitoes infected with the chikungunya virus (CHIKV). CHIKV has been imported annuall…
math.DS2025
Well-posedness and asymptotic behavior of difference equations with a time-dependent delay and applications
Guilherme Mazanti, Jaqueline G. Mesquita
In this paper, we investigate the well-posedness and asymptotic behavior of difference equations of the form , , where the unknown function tak…
math.OC2024
Slow and fast dynamics in measure functional differential equations with state-dependent delays through averaging principles and applications to extremum seeking
Jaqueline G. Mesquita, Tiago Roux Oliveira, Henrique C. dos Reis
This paper investigates a new class of equations called measure functional differential equations with state-dependent delays. We establish the existence and uniqueness of solution…