Results 21 to 30 of about 353 (103)
Modelling Immune Response and Drug Therapy in Human Malaria Infection
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 143-163, 2008., 2008 A new intra‐host model of malaria that describes the dynamics of the blood stages of the parasite and its interaction with red blood cells and immune effectors is proposed. Local and global stability of the disease free equilibrium are investigated. Conditions for existence and uniqueness of the endemic equilibrium are derived.
C. Chiyaka, W. Garira, S. Dube
wiley +1 more source
On the dynamics of a class of multi-group models for vector-borne diseases [PDF]
, 2015 The resurgence of vector-borne diseases is an increasing public health concern, and there is a need for a better understanding of their dynamics. For a number of diseases, e.g.
Aberrahman Iggidr +3 more
core +5 more sources
On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 56, Page 2971-2987, 2004., 2004 A four‐dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three‐dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf‐Andronov‐Poincaré bifurcation for the four‐dimensional epidemic model are ...
M. M. A. El-Sheikh, S. A. A. El-Marouf
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On the optimality of double‐bracket flows
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 62, Page 3301-3319, 2004., 2004 We analyze the optimality of the stable fixed point of the double‐bracket equations. We introduce different types of optimality and prove local and global optimality results with respect to the Schatten p‐norms.
Anthony M. Bloch, Arieh Iserles
wiley +1 more source
An equivalence theorem concerning population growth in a variable environment
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2747-2758, 2003., 2003 We give conditions under which two solutions x and y of the Kolmogorov equation x˙=xf(t,x) satisfy limy(t)/x(t) = 1 as t → ∞. This conclusion is important for two reasons: it shows that the long‐time behavior of the population is independent of the initial condition and it applies to ecological systems in which the coefficients are time dependent.
Ray Redheffer, Richard R. Vance
wiley +1 more source
Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure [PDF]
, 2016 Agraïments: The second author is partially supported by Dirección de Investigación DIUBB 1204084/R.A ratio-dependent predator-prey model with stage structure for prey was investigated in [8].
Llibre, Jaume, Vidal, Claudio
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Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
wiley +1 more source
Open Mathematics, 2016 A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde +2 more
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Open Mathematics, 2019 In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang +3 more
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Open Mathematics, 2016 This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances.
Sun Chao, Wang Fuli, He Xiqin
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