具有时滞反应扩散方程组的全局渐近稳定性

研究了具有时滞反应扩散方程组的初边值问题,采用比较原理、解的存在性定理,得到了解的存在性和平衡态方程正解的全局渐近稳定性的充分条件.这个结果导致捕食食饵系统的持久性、平凡解和所有半平凡解的不稳定性和不存在非一致平衡解.     

食饵-捕食系统最优化开发研究

给出了几种开发食饵-捕食系统的方案,以及与之相对应的方程.得出了在非密度制约条件下,不同捕获方案的最大收益值,并做出了相关生态解释.通过对不同捕获方案的比较,得到了获取最大收益时的充分条件,最后运用M atlab对结论进行了数值模拟.     

一类捕食与被捕食生物系统的定性分析

对一类生物系统的奇点进行分析,并证明在整个平面上该系统不存在极限环.     

食饵有感染的时滞三维捕食-被捕食模型稳定性分析(英文)

食饵具有感染率的捕食-被捕食系统可以用来解释生命科学中的很多现象,该问题已经被很多学者研究。在人口动力学中,收获率对物种有重要的影响。研究了一类具有收获的食饵有感染的时滞三维捕食-被捕食模型的稳定性,同时发现当参数经过一系列临界值时,系统产生Hopf分支现象。数值仿真证明了理论结果。     

基于种群保护的最优税收策略

在两种群相互作用的Logistic模型的基础上,将税收考虑进去分析了一类食饵-捕食收获模型.讨论了正平衡点的存在性,利用Hurwitz判别法证明了正平衡点的局部渐近稳定性,利用Pontryagin最大值原则得到了最优税收策略,目的在于既保护生态系统又能使社会经济收益最大.     

一类食饵-捕食征税模型分析

在两种群相互作用的Logistic模型的基础上将税收考虑进去分析了一类食饵-捕食收获模型.讨论了正平衡点的存在性,证明了正平衡点的局部渐近稳定性,利用Pontryagin最大值原则得到了最优税收策咯.     

STABILIZATION OF A KIND OF PREY-PREDATOR MODEL WITH HOLLING FUNCTIONAL RESPONSE

The stabilization problem of a kind of prey-predator model with Holling functional responseis investigated.By approximate linearization approach,a feedback control law stabilizing the closed-loop system is obtained.On the other hand.by exact linearization approach,a suitable change ofcoordinates in the state space and a feedback control law render the complex nonlinear system to bea linear controllable one such that the positive equilibrium point of the closed-loop system is globallyasymptotically stable.     

一个捕食模型非常数正解的存在性

讨论一个带有齐次Neumann边界条件的强耦合捕食模型,给出了非常数正解的存在性.     

一个具扩散的捕食模型非常数正解的存在性

考虑一个Neumann边界条件下具扩散和Holling型功能反应的捕食-被捕食模型的平衡态问题,获得了该模型正平衡态解的一些结果.首先,给出了正解的先验估计,进而,用能量方法得到其非常数正解的不存在性,用拓扑度理论得出其非常数正解的存在性结果.     

Book reviews

Summary

Five early ontogenic stages of Scomberomorus lineolatus (C. &; V.) ranging in standard length from 18·4 mm to 99·5 mm are described.

Direct comparison of these early stages with those of S. commerson (Lac.) showed differences in the number of gill rakers, the length of preopercular spines and the position of the anal fin in relation to the second dorsal fin. In the case of S. guttatus (Bl. &; Schn.) the gill rakers are of the same number as in S. lineolatus but the preopercular spines decrease in size from above with the upper two subequal in size and none projects beyond the operculum.

In the earlier stages, S. lineolatus could be easily distinguished from S. guttatus by the absence of the bluish green coloration characteristic of S. guttatus. In later stages when the coloration has developed in both the species the only marked difference between the two is in the nature of the bent portion of the lateral line which is wavy in S. lineolatus and straight in S. guttatus.

The number of vertebrae is 46 in S. lineolatus; 42–45 with 43·9 as mean in S. commerson and 47–52 with 49·7 as mean in S. guttatus.