Multivariate Markov processes for stochastic systems with delays: Application to the stochastic Gompertz model with delay

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 1, 2002, Pages

  Frank, T D ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; APPROXIMATION THEORY; COMPUTER SIMULATION; GRANULAR MATERIALS; KINETIC THEORY; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MIXTURES; POLYNOMIALS; RANDOM PROCESSES; RELAXATION PROCESSES;

INELASTIC HARD SPHERE MODEL (IHS); INELASTIC MIXTURES; MAXWELL MODEL; MEAN-FIELD MODEL; POLYNOMIAL EXPANSION;

ELASTICITY;

BIOLOGICAL MODEL; BIOPHYSICS; MULTIVARIATE ANALYSIS; POPULATION GROWTH; PROBABILITY; STATISTICS;

BIOPHYSICAL PHENOMENA; BIOPHYSICS; MARKOV CHAINS; MODELS, BIOLOGICAL; MULTIVARIATE ANALYSIS; POPULATION GROWTH; STOCHASTIC PROCESSES;

EID: 34248645088     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.011914     Document Type: Article

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55. Here, (Formula presented) with a reflective boundary at (Formula presented) and a natural boundary at (Formula presented). For these mixed boundary conditions the currents (Formula presented) vanish at the boundaries again [hint: use the arguments for boundary conditions (i) and (iii) in combination]. Consequently, the results obtained in Sec. II B apply in this case, too.