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| 摘要: |
| 本文通过分析褐点石斑鱼的繁殖特性及相关实验数据, 提出使用 Hill 函数来建立褐点石斑鱼的出生模型. 利用鱼类种群分布特点, 建立了具有空间扩散的年龄结构模型. 通过使用积分半群和 Hopf 分支理论对二阶半线性抽象微分方程的研究, 我们得到了该模型的周期波串解存在性问题的结果. 本文对理论证明结论进行了数值模拟验证. |
| 关键词: 年龄结构 扩散方程 非稠定柯西问题 Hopf 分支 周期波串解 |
| DOI： |
| 分类号:34C20; 34K15; 37L10; 92D25 |
| 基金项目:高层次人才项目 |
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| Research on the wave train solution of brown-spotted grouper model |
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wuyayun
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| Abstract: |
| In this paper, by analyzing the reproductive characteristics and related experimental data of Epinephelus fuscoguttatus, we propose to use the Hill function to establish a fertility function. Based on the distribution characteristics of fish populations, an age structure model with diffusion was established. By using the integral semi-group and the Hopf bifurcation theorem to investigate the second order semi-linear abstract differential equations, we obtain the existence of periodic wave train solutions. The theoretical conclusions are verified by numerical simulation. |
| Key words: Age structure Diffusion equation Non-densely defined Cauchy problem Hopf bifurcation Periodic wave trains |
