Feng, Lirui Wang, Yi and Wu, Jianhong 2017. Semiflows “Monotone with Respect to High-Rank Cones" on a Banach Space. SIAM Journal on Mathematical Analysis, Vol. 49, Issue. 1, p. 142.
Burkin, I. M. 2015. Method of “transition into space of derivatives”: 40 years of evolution. Differential Equations, Vol. 51, Issue. 13, p. 1717.
Dirr, Gunther Ito, Hiroshi Rantzer, Anders and Rüffer, Björn S. 2015. Separable Lyapunov functions for monotone systems: Constructions and limitations. Discrete and Continuous Dynamical Systems - Series B, Vol. 20, Issue. 8, p. 2497.
Jiang, Jifa 2013. Convergence on cooperative cascade systems with length one. Journal of Differential Equations, Vol. 255, Issue. 11, p. 4081.
Yang, Maobin Zhang, Zhufan Li, Qiang and Zhang, Gang 2012. An SLBRS Model with Vertical Transmission of Computer Virus over the Internet. Discrete Dynamics in Nature and Society, Vol. 2012, p. 1.
Liao, Shu and Wang, Jin 2012. Global stability analysis of epidemiological models based on Volterra–Lyapunov stable matrices. Chaos, Solitons & Fractals, Vol. 45, Issue. 7, p. 966.
Roques, Lionel and Chekroun, Mickaël D. 2011. Probing chaos and biodiversity in a simple competition model. Ecological Complexity, Vol. 8, Issue. 1, p. 98.
Tian, Jianjun Paul and Wang, Jin 2011. Global stability for cholera epidemic models. Mathematical Biosciences, Vol. 232, Issue. 1, p. 31.
Zhou, Xueyong and Cui, Jingan 2011. Analysis of stability and bifurcation for an SEIV epidemic model with vaccination and nonlinear incidence rate. Nonlinear Dynamics, Vol. 63, Issue. 4, p. 639.
Sanchez, Luis A. 2009. Cones of rank 2 and the Poincaré–Bendixson property for a new class of monotone systems. Journal of Differential Equations, Vol. 246, Issue. 5, p. 1978.
Li, Xue-Zhi and Zhou, Lin-Lin 2009. Global stability of an SEIR epidemic model with vertical transmission and saturating contact rate. Chaos, Solitons & Fractals, Vol. 40, Issue. 2, p. 874.
Bhattacharya, R Tiwari, A Fung, J and Murray, R M 2009. Cone invariance and rendezvous of multiple agents. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 223, Issue. 6, p. 779.
Vano, J A Wildenberg, J C Anderson, M B Noel, J K and Sprott, J C 2006. Chaos in low-dimensional Lotka–Volterra models of competition. Nonlinearity, Vol. 19, Issue. 10, p. 2391.
Wang, Kaifa Wang, Wendi and Liu, Xianning 2006. Global stability in a viral infection model with lytic and nonlytic immune responses. Computers & Mathematics with Applications, Vol. 51, Issue. 9-10, p. 1593.
Hui, Jing and Zhu, Deming 2005. Global stability and periodicity on SIS epidemic models with backward bifurcation. Computers & Mathematics with Applications, Vol. 50, Issue. 8-9, p. 1271.
Arino, Julien McCluskey, C. Connell and van den Driessche, P. 2003. Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation. SIAM Journal on Applied Mathematics, Vol. 64, Issue. 1, p. 260.
Smith, Hal L. Wang, Liancheng and Li, Michael Y. 2001. Global Dynamics of an SEIR Epidemic Model with Vertical Transmission. SIAM Journal on Applied Mathematics, Vol. 62, Issue. 1, p. 58.
Li, Michael Y. and Muldowney, James S. 2000. Dynamics of Differential Equations on Invariant Manifolds. Journal of Differential Equations, Vol. 168, Issue. 2, p. 295.
Li, Michael Y. and Muldowney, James S. 1996. A Geometric Approach to Global-Stability Problems. SIAM Journal on Mathematical Analysis, Vol. 27, Issue. 4, p. 1070.
For certain Cr 3-dimensional cooperative or competitive vector fields F, where r is any positive integer, it is shown that for any nonwandering point p, every neighborhood of F in the Cr topology contains a vector field for which p is periodic, and which agrees with F outside a given neighborhood of p. The proof is based on the existence of invariant planar surfaces through p.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.
* Views captured on Cambridge Core between September 2016 - 18th January 2018. This data will be updated every 24 hours.