Zobrazeno 1 - 10
of 1 457
pro vyhledávání: '"Torres, Delfim"'
Publikováno v:
Commun. Nonlinear Sci. Numer. Simul. 142 (2025), Art. 108501, 14pp
We study controllability and observability concepts of tempered fractional linear systems in the Caputo sense. First, we formulate a solution for the class of tempered systems under investigation by means of the Laplace transform method. Then, we der
Externí odkaz:
http://arxiv.org/abs/2412.05349
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
This paper deals with the gradient stability and the gradient stabilizability of Caputo time fractional diffusion linear systems. First, we give sufficient conditions that allow the gradient Mittag-Leffler and strong stability, where we use a direct
Externí odkaz:
http://arxiv.org/abs/2411.15280
Publikováno v:
Axioms 13 (2024), no. 11, Art. 772, 14pp
The Zika virus, known for its potential to induce neurological conditions such as microcephaly when transmitted vertically from infected mothers to infants, has sparked widespread concerns globally. Motivated by this, we propose an optimal control pr
Externí odkaz:
http://arxiv.org/abs/2411.05843
Autor:
Charles, Mfano, Mfinanga, Sayoki G., Lyakurwa, G. A., Torres, Delfim F. M., Masanja, Verdiana G.
Publikováno v:
Chaos Solitons Fractals 189 (2024), Art. 115633, 13pp
Rabies remains a pressing global public health issue, demanding effective modeling and control strategies. This study focused on developing a mathematical model using ordinary differential equations (ODEs) to estimate parameters and assess uncertaint
Externí odkaz:
http://arxiv.org/abs/2410.11927
Publikováno v:
Appl. Numer. Math. 207 (2025) 339--347
We propose a nonstandard finite difference scheme for the Susceptible-Infected-Removed (SIR) continuous model. We prove that our discretized system is dynamically consistent with its continuous counterpart and we derive its exact solution. We end wit
Externí odkaz:
http://arxiv.org/abs/2409.09157
We consider the unexploited/exploited logistic equation and study the stability of equilibrium points through Lyapunov functions. Then, we apply first and second order optimality conditions for the optimal control of the total biomass yield. Finally,
Externí odkaz:
http://arxiv.org/abs/2409.09077
Publikováno v:
J. Math. Model. 12 (2024), no. 4, 623--654
We consider fuzzy valued functions from two parametric representations of $\alpha$-level sets. New concepts are introduced and compared with available notions. Following the two proposed approaches, we study fuzzy differential equations. Their relati
Externí odkaz:
http://arxiv.org/abs/2407.07906
Publikováno v:
Appl. Math. (Warsaw) 51 (2024), no. 2, 163--177
We consider a SICA model for HIV transmission on time scales. We prove permanence of solutions and we derive sufficient conditions for the existence and uniform asymptotic stability of a unique positive almost periodic solution of the system in terms
Externí odkaz:
http://arxiv.org/abs/2406.18596
Autor:
Charles, Mfano, Masanja, Verdiana G., Torres, Delfim F. M., Mfinanga, Sayoki G., Lyakurwa, G. A.
Publikováno v:
Heliyon 10 (2024), no. 11, e32012, 1--26
This paper presents a mathematical model to understand how rabies spreads among humans, free-range, and domestic dogs. By analyzing the model, we discovered that there are equilibrium points representing both disease-free and endemic states. We calcu
Externí odkaz:
http://arxiv.org/abs/2406.15447
Autor:
Bernardo, Rodrigo M. C., Torres, Delfim F. M., Herdeiro, Carlos A. R., Santos, Marco P. Soares dos
Publikováno v:
Heliyon 10 (2024), no. 11, e31771, 1--24
Control algorithms have been proposed based on knowledge related to nature-inspired mechanisms, including those based on the behavior of living beings. This paper presents a review focused on major breakthroughs carried out in the scope of applied co
Externí odkaz:
http://arxiv.org/abs/2406.00084