Results 21 to 30 of about 128 (118)
Controlo ótimo fracionário e aplicações biológicas [PDF]
, 2022 In this PhD thesis, we derive a Pontryagin Maximum Principle (PMP) for fractional optimal control problems and analyze a fractional mathematical model of COVID– 19 transmission dynamics.
Ndaïrou, Faïçal
core
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
wiley +1 more source
STABILITY ANALYSIS OF AN SIR EPIDEMIC MODEL WITH SPECIFIC NONLINER INCIDENCE RATE [PDF]
, 2016 We study an SIR epidemic model with a specific non linear incidence rate function. The stability of the disease-free equilibrium and the endemic equilibrium are found and an appropriate Dulac function was constructed for investigating the global ...
Agrawal, Ankit
core +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
doaj +1 more source
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
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
doaj +1 more source
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
doaj +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
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
Optimal Control of a Waterborne Disease Model With Dual Environmental Pathways and Hospitalization
Journal of Mathematics, Volume 2026, Issue 1, 2026.Waterborne diseases remain a persistent public health crisis in low‐resource regions, where inadequate sanitation infrastructure, limited access to clean water, and weak healthcare systems create conditions for recurrent outbreaks. While mathematical models have advanced our understanding of disease transmission through water and direct contact, two ...
Olumuyiwa James Peter +6 more
wiley +1 more source