Stability and bifurcation in epidemic models describing the transmission of toxoplasmosis in human and cat populations

DOI10.1002/MMA.4410zbMath1387.34072OpenAlexW2608271337MaRDI QIDQ5374340

Luz Myriam Echeverry, Jocirei D. Ferreira, Carlos A. Peña Rincon

Publication date: 10 April 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4410

zbMATH Keywords

global stabilitylocal stabilitypopulation dynamicsreaction diffusion modeltoxoplasmosis modeltrans-critical bifurcation

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (3)

Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats ⋮ Dynamics of infectious diseases: a review of the main biological aspects and their mathematical translation ⋮ Mathematical modeling of toxoplasmosis with multiple hosts, vertical transmission and cat vaccination

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