Parasite population delay model of malaria type with stochastic perturbation and environmental criterion for limitation of disease

DOI10.1016/j.jmaa.2009.06.078zbMath1175.92053OpenAlexW1977710631MaRDI QIDQ1034581

Elisabetta Tornatore, Stefania Maria Buccellato

Publication date: 6 November 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.078

zbMATH Keywords

stochastic differential equationdelay differential equationpopulation dynamic

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ecology (92D40)

Related Items (6)

Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence ⋮ Dynamical behaviors of a stochastic malaria model: a case study for Yunnan, China ⋮ Stability of an SEIR epidemic model with independent stochastic perturbations ⋮ Threshold dynamics of stochastic models with time delays: a case study for Yunnan, China ⋮ Stability and bifurcation in a vector-bias model of malaria transmission with delay ⋮ Hopf bifurcation and its stability for a vector-borne disease model with delay and reinfection

Cites Work

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• A mathematical model for endemic malaria with variable human and mosquito populations
• Environmental Brownian noise suppresses explosions in population dynamics.
• A note on nonautonomous logistic equation with random perturbation
• Notes on the Theory and Application of Fourier Transforms, III, IV, V, VI, VII

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