Abstract
AbstractThe paper discusses the risk of ruin in insurance coverage of an epidemic in a closed population. The model studied is an extended susceptible–infective–removed (SIR) epidemic model built by Lefèvre and Simon (Methodology Comput. Appl. Prob.22, 2020) as a block-structured Markov process. A fluid component is then introduced to describe the premium amounts received and the care costs reimbursed by the insurance. Our interest is in the risk of collapse of the corresponding reserves of the company. The use of matrix-analytic methods allows us to determine the distribution of ruin time, the probability of ruin, and the final amount of reserves. The case where the reserves are subjected to a Brownian noise is also studied. Finally, some of the results obtained are illustrated for two particular standard SIR epidemic models.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference22 articles.
1. On the solution of algebraic Riccati equations arising in fluid queues
2. [21] Ramaswami, V. (1999). Matrix-analytic methods for stochastic fluid flows. In Teletraffic Engineering in a Competitive World (Proc. 16th Internat. Teletraffic Congress), eds Smith, D. and Hey, P. , Elsevier, Amsterdam , pp. 1019–1030.
3. Algorithm 705; a FORTRAN-77 software package for solving the Sylvester matrix equation AXBT+ CXDT= E
4. Introduction to Matrix Analytic Methods in Stochastic Modeling
5. Ruin Probabilities
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