應(yīng)yl7703永利官網(wǎng)李萬同教授和孫建文副教授邀請，河南理工大學(xué)王明新教授將于2023年10月20日至2023年10月23日訪問蘭州大學(xué)并舉辦學(xué)術(shù)講座，誠邀全校師生參加！

題目：Aneco-epidemiological prey-predator model with infectious diseases in prey

時間：10月23日下午4:30

地點：理工樓631

摘要：Eco-epidemiology has become a new interdisciplinary subject and is the frontier and hotspot of mathematical biology research so far. In this talk, we first formulate the basic eco-epidemiological model combining the SI epidemic model and the prey-predator model. Then study the ODE model, and diffusive model with the homogeneous Neumann and Dirichlet boundary conditions, respectively. For the ODE model and the diffusive model with the homogeneous Neumann boundary conditions, we give a complete conclusion about the stabilities of nonnegative equilibrium states (nonnegative constant equilibrium solutions). The results show that these two problems has no periodic solutions, and the diffusive model with the homogeneous Neumann boundary conditions has no yet Turing patterns. For the diffusive model with the homogeneous Dirichlet boundary conditions, we first establish the necessary and sufficient conditions for the existence of positive equilibrium solutions, and prove that the positive equilibrium solution is unique when it exists. Then we study the global asymptotic stabilities of trivial and semi-trivial nonnegative equilibrium solutions.

歡迎廣大師生光臨!

報告人簡介

王明新，河南理工大學(xué)特聘教授，1994年起享受國務(wù)院政府特殊津貼。在Trans. Amer. Math. Soc.，Proc. London Math. Soc.，Indiana Univ. Math. J.，J. Math. Pures Appl.，Math. Models Meth. Appl. Sci., SIAM J. Math. Anal.，SIAM J. Appl. Math.，J. Funct. Anal., Calc. Var. Partial Differ. Equ., J. Differ. Equations等刊物發(fā)表論文270余篇，科學(xué)出版社出版專著5本(4本獨著，1本合著)，高等教育出版社出版專著一本(獨著)，CRC出版社出版英文著作“Nonlinear Second Order Parabolic Equations”(獨著)，參與編寫了科學(xué)出版社出版的“數(shù)學(xué)大辭典”(王元主編)和中國大百科全書，清華大學(xué)出版社出版教材4本。作為第一獲獎人，獲教育部自然科學(xué)二等獎、江蘇省科技進步二等獎和教育部科技進步三等獎各1次，獲河南省青年科技獎、江蘇省首屆青年科學(xué)家獎提名獎、江蘇省優(yōu)秀研究生指導(dǎo)教師和華英文化教育基金獎。主持完成國家自然科學(xué)基金項目10項，在研一項；主持完成省部級項目9項。

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點實驗室

yl7703永利官網(wǎng)

萃英學(xué)院

2023年10月20日