@Article{JICS-14-018, author = {Yemin Cui and Zuolei Wang}, title = {The perturbed compound Poisson-Geometric risk model with constant interest and a threshold dividend strategy}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {14}, number = {1}, pages = {018--024}, abstract = {In this paper, the perturbed compound Poisson-Geometric risk model with constant interest and a threshold dividend strategy are considered. Firstly, the integro-differential equations with boundary conditions for the Gerber-Shiu function is discussed. Then the equation satisfying the ruin probability studied when the claim size is exponential function. Finally, Integro-differential equations with certain boundary for the moment-generation function of the present value of total dividends until ruin is derived. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22428.html} }