高师理科学刊
高師理科學刊
고사이과학간
Journal of Science of Teachers' College and University
2015年
10期
28-32
,共5页
Smith增长%捕食系统%经济捕获%稳定性
Smith增長%捕食繫統%經濟捕穫%穩定性
Smith증장%포식계통%경제포획%은정성
Smith growth%predator-prey system%economic harvesting%stability
建立了一类食饵具有Smith增长的捕食系统的经济捕获模型。运用微分方程稳定性理论研究了模型平衡点的稳定性，并得到平衡点渐近稳定的充分条件。对结论进行了生态解释，并且运用Matlab对平衡点的稳定性进行了仿真。
建立瞭一類食餌具有Smith增長的捕食繫統的經濟捕穫模型。運用微分方程穩定性理論研究瞭模型平衡點的穩定性，併得到平衡點漸近穩定的充分條件。對結論進行瞭生態解釋，併且運用Matlab對平衡點的穩定性進行瞭倣真。
건립료일류식이구유Smith증장적포식계통적경제포획모형。운용미분방정은정성이론연구료모형평형점적은정성，병득도평형점점근은정적충분조건。대결론진행료생태해석，병차운용Matlab대평형점적은정성진행료방진。
Constructed an economic harvesting model of predator-prey system for prey species with Smith growth.The stability of the equilibriums was studied andthe sufficient conditions of the stability for the equilibriums were obtained by the stability theory of ordinary differential equation.The ecological significances for the above conclusions were explained and the stability of the equilibriums was illustrated by Matlab.
