Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps
| dc.contributor.author | Zhang, Mengqing | |
| dc.contributor.author | Tian, Jing | |
| dc.contributor.author | Zou, Keyue | |
| dc.date.accessioned | 2023-05-19T18:44:46Z | |
| dc.date.available | 2023-05-19T18:44:46Z | |
| dc.date.issued | 2023-01-06 | |
| dc.description.abstract | In this article, we study a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps. Applying the M-matrix theory, we prove the existence and uniqueness of a global solution for the system. Then we use an optimized Euler-Maruyama numerical scheme to approximate the solution. We obtain second-moment boundedness and convergence rate of the numerical solutions. The numerical solutions illustrate the theoretical results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, M., Tian, J., & Zou, K. (2023). Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps. <i>Electronic Journal of Differential Equations, 2023</i>(02), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16837 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Cooperative Lotka-Volterra system | |
| dc.subject | Age-structured | |
| dc.subject | Rate of convergence | |
| dc.subject | Poisson jumps | |
| dc.subject | Euler-Maruyama scheme | |
| dc.title | Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps | |
| dc.type | Article |