Zobrazeno 1 - 10
of 1 158
pro vyhledávání: '"Torres, Delfim F. M."'
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
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
Autor:
Addai, Emmanuel, Torres, Delfim F. M., Abdul-Hamid, Zalia, Mezue, Mary Nwaife, Asamoah, Joshua Kiddy K.
Publikováno v:
Model. Earth Syst. Environ. 10 (2024), no. 4, 4993--5008
We propose and analyze a deterministic mathematical model for the transmission of food-borne diseases in a population consisting of humans and flies. We employ the Caputo operator to examine the impact of governmental actions and online food delivery
Externí odkaz:
http://arxiv.org/abs/2406.15438
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
This work deals with the finite time stability of generalized proportional fractional systems with time delay. First, based on the generalized proportional Gr\"onwall inequality, we derive an explicit criterion that enables the system trajectories to
Externí odkaz:
http://arxiv.org/abs/2405.12256
Publikováno v:
Chaos Solitons Fractals 184 (2024), Art. 114987, 8pp
We investigate the dynamics of the hepatitis B virus by integrating variable-order calculus and discrete analysis. Specifically, we utilize the Caputo variable-order difference operator in this study. To establish the existence and uniqueness results
Externí odkaz:
http://arxiv.org/abs/2405.14887
Autor:
Torres, Delfim F. M.
Publikováno v:
Mediterr. J. Math. 21 (2024), no. 3, Paper No. 106, 16pp
Through duality it is possible to transform left fractional operators into right fractional operators and vice versa. In contrast to existing literature, we establish integration by parts formulas that exclusively involve either left or right operato
Externí odkaz:
http://arxiv.org/abs/2404.14458