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一類具有脈沖接種、雙時滯的SEIRS傳染病模型研究分析(英文)

摘要:In this paper, an SEIRS epidemic model with pulse vaccination and two time delays is proposed. By using stroboscopic map and comparison principle, the disease-free periodic solution(DFPS for short) is obtained and the global asymptotic stability of the DFPS is proved. The sufficient conditions for the permanence of the model are obtained. In addition, numerical simulations are done to confirm our theoretical results.

關(guān)鍵詞:
  • impulsive  
  • vaccination  
  • time  
  • delay  
  • threshold  
  • values  
  • global  
  • stability  
  • permanence  
作者:
高建忠; 張?zhí)?
單位:
School; of; Science; Chang'an; University; Xi'an; 710064; China
刊名:
數(shù)學(xué)季刊

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期刊名稱:數(shù)學(xué)季刊

數(shù)學(xué)季刊雜志緊跟學(xué)術(shù)前沿,緊貼讀者,國內(nèi)刊號為:41-1102/O1。堅持指導(dǎo)性與實用性相結(jié)合的原則,創(chuàng)辦于1986年,雜志在全國同類期刊中發(fā)行數(shù)量名列前茅。