{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:47Z","timestamp":1740134567555,"version":"3.37.3"},"reference-count":5,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100004735","name":"Natural Science Foundation of\u00a0Hunan Province","doi-asserted-by":"publisher","award":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"],"award-info":[{"award-number":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Humanities and Social Sciences Project of the Ministry Education in China","award":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"],"award-info":[{"award-number":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"]}]},{"name":"Hunan Social Science Fund Program","award":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"],"award-info":[{"award-number":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"]}]},{"name":"Scientific Fund of Hunan Provincial Education Department","award":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"],"award-info":[{"award-number":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"]}]},{"name":"Natural Science Foundation of Anhui Higher Education Institutions","award":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"],"award-info":[{"award-number":["13JJ4083","10YJC630144","12YBB093","13C318","KJ2014ZD21"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The paper studies the dual risk model with a barrier strategy under the concept of bankruptcy, in which one has a positive probability to continue business despite temporary negative surplus. Integrodifferential equations for the expectation of the discounted dividend payments and the probability of bankruptcy are derived. Moreover, when the gain size distribution is exponential, explicit solutions for the expected dividend payments and the bankruptcy probability are obtained for constant bankruptcy rate function. 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