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2014•东华大学学报：英文版Requires access

Global Asymptotical Stability of an SEIR Model with Random Perturbation

徐敏, 胡良剑

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Abstract

Stochasticity is introduced into a susceptible-exposed but not infectious-infectious-removed( SEIR) model describing epidemics’ transmission,via the technique of parameter perturbation which is standard in stochastic population modeling. The existence and uniqueness of the model have been proved in this paper. And a detailed analysis on global asymptotic stability is also carried out.

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What this paper is about

Stochasticity is introduced into a susceptible-exposed but not infectious-infectious-removed( SEIR) model describing epidemics’ transmission,via the technique of parameter perturbation which is standard in stochastic population modeling. The existence and uniqueness of the model have been proved in this paper. And a detailed analysis on global asymptotic stability is also carried out.

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Available abstract

Stochasticity is introduced into a susceptible-exposed but not infectious-infectious-removed( SEIR) model describing epidemics’ transmission,via the technique of parameter perturbation which is standard in stochastic population modeling. The existence and uniqueness of the model have been proved in this paper. And a detailed analysis on global asymptotic stability is also carried out.

Key concepts: Uniqueness, Perturbation (astronomy), Exponential stability, Applied mathematics, Mathematics, Stability (learning theory), Epidemic model, Population

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