Dynamics of SI epidemic with a demographic Allee effect

DOI10.1016/j.tpb.2015.10.005zbMath1343.92524OpenAlexW1827183454WikidataQ40938229 ScholiaQ40938229MaRDI QIDQ304422

Salisu Usaini, Roumen Anguelov, Salisu M. Garba

Publication date: 25 August 2016

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2263/56301

zbMATH Keywords

persistenceextinctionthresholdcarrying capacityAllee effect

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25)

Related Items (4)

Pattern dynamics of nonlocal delay SI epidemic model with the growth of the susceptible following logistic mode ⋮ Dynamical behavior of an epidemiological model with a demographic allee effect ⋮ Stochastic periodic solution of a susceptible-infective epidemic model in a polluted environment under environmental fluctuation ⋮ Disease-induced chaos, coexistence, oscillations, and invasion failure in a competition-model with strong Allee effect

Cites Work

• Multiparametric bifurcations of an epidemiological model with strong Allee effect
• Habitat destruction and the extinction debt revisited: the Allee effect
• Disease transmission models with density-dependent demographics
• Population size dependent incidence in models for diseases without immunity
• A diffusive SI model with Allee effect and application to FIV
• A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness
• How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
• The Mathematics of Infectious Diseases
• Discrete-time host–parasitoid models with Allee effects: Density dependence versus parasitism
• Species decline and extinction: synergy of infectious disease and Allee effect?
• Fatal disease and demographic Allee effect: population persistence and extinction
• Host Demographic Allee Effect, Fatal Disease, and Migration: Persistence or Extinction
• Population collapse to extinction: the catastrophic combination of parasitism and Allee effect
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