| 捕食模型正周期解存在性的一个注记 |
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| 引用本文： | 黄运金,孔宪荣,王培林.捕食模型正周期解存在性的一个注记[J].数学研究,2009,42(1). |
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| 作者姓名： | 黄运金 孔宪荣 王培林 |
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| 作者单位： | 1. 福建农林大学计算机与信息学院,福建,福州,350002
2. 福建省浦城一中,福建,浦城,353400 |
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| 摘 要： | 利用重合度理论中的延拓定理讨论了多滞量捕食模型(dN_1(t))/dt=N_1(t)r_1(t)-a_(11)(t)N_1(t-τ_1(t))-a_(12)(t)N_2(t-τ_2(t))] (dN_2(t))/dt=N_2(t)-r_2(t)+a_(21)(t)N_1(t-τ_3(t))]的正周期解的存在性,得到了保证上述系统周期解存在的一组时滞依赖的充分条件,补充和完善了已有学者的工作.
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| 关 键 词： | 捕食者-食饵系统 多滞量 重合度 周期解 |
A Note on Existence of the Positive Periodic Solution of a Predator-Prey System |
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| Huang Yunjin,Kong Xianrong,Wang Peilin.A Note on Existence of the Positive Periodic Solution of a Predator-Prey System[J].Journal of Mathematical Study,2009,42(1). |
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| Authors: | Huang Yunjin Kong Xianrong Wang Peilin |
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| Institution: | 1.College of Computer and Information; Fujian Agriculture University; Fuzhou Fujian 350002; 2.No.1 Middle School of Pucheng; Pucheng Fujian 353400; 3.College of Computer and Information; Fuzhou Fujian 350002); |
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| Abstract: | By using a continuation theorem in coincidence degree theory,we study the global existence of positive periodic solution of the following periodic predator-prey system: (dN_1(t))/(dt) = N_1(t)r_1(t) - a_(11)(t)N_1(t -τ_1(t)) - a_(12)(t)N_2(t -τ_2(t))], (dN_2(t))/(dt)= N_2(t)-r_2(t) +a_(21)(t)N_1(t-τ_3(t))]. sufficient conditions for the existence of the positive solutiong of the system are obtained.Our results extend and improve previous results. |
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| Keywords: | predator-prey system delays coincidence degree periodic solution |
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