Dynamically-consistent non-standard finite difference method for an epidemic model

Mathematical and Computer Modelling

Volumn 53, Issue 1-2, 2011, Pages 131-150

  Garba, S M ^a   Gumel, A B ^b   Lubuma, J M S ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

^b UNIVERSITY OF PRETORIA   (South Africa)

Author keywords

Epidemic model; Equilibria; Non standard finite difference scheme; Reproduction number; Stability

Indexed keywords

ASYMPTOTIC DYNAMICS; ASYMPTOTICALLY STABLE; BACKWARD BIFURCATION; CONTINUOUS TIME MODELS; DISEASE TRANSMISSION; DISEASE-FREE EQUILIBRIUM; DYNAMICAL FEATURES; EPIDEMIC MODELS; EQUILIBRIA; FINITE-DIFFERENCE DISCRETIZATION; GAIN INSIGHT; GAUSS-SEIDEL; NON-STANDARD FINITE DIFFERENCE SCHEME; NUMERICAL INSTABILITY; NUMERICAL SIMULATION; REPRODUCTION NUMBER; STANDARD METHOD; STEADY STATE SOLUTION; TRANSMISSION DYNAMICS;

ASYMPTOTIC ANALYSIS; COMPUTER SIMULATION; CONTINUOUS TIME SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; DISEASE CONTROL; DISEASES; FINITE DIFFERENCE METHOD; STANDARDS; STRAIN; VACCINES;

MATHEMATICAL MODELS;

EID: 77958483922     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2010.07.026     Document Type: Article

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