Wyniki wyszukiwania - BazTech

1

The impact of two independent gaussian white noises on the behavior of a stochastic epidemic model

Yavuz Mehmet, Boulaasair Lahcen, Bouzahir Hassane, Diop Mamadou Abdoul, Benaid Brahim

Journal of Applied Mathematics and Computational Mechanics

|

2024

|

Vol. 23, nr 1

121-134

EN

The aim of this paper is to investigate a stochastic SIS (Susceptible, Infected, Susceptible) epidemic model in which the disease transmission coefficient and the death rate are subject to random disturbances. Using the convergence theorem for local martingales and solving the Fokker-Planck equation associated with the one-dimensional stochastic differential equation, we demonstrate that the disease will almost surely persist in the mean. In the case of global asymptotic stability of the endemic equilibrium for a SIS deterministic epidemic model, we formulate suitable conditions guaranteeing that the stochastic SIS model has a unique ergodic stationary distribution. Furthermore, we deal with the exponential extinction of the disease. Finally, some numerical simulations are provided to illustrate the obtained analytical results.

2

Cn - pseudo almost automorphic solutions of class r for neutral partial functional differential equations under the light of measure theory

Napo Miailou, Zabsonre Issa, Bayili Gilbert

Silesian Journal of Pure and Applied Mathematics

|

2022

|

Vol. 12, iss. 1

1--32

EN

The aim of this work is to present new approach to study Cn-(µ,v)-pseudo almost automorphic solutions of class r for some neutral partial functional differential equations in a Banach space when the delay is distributed. We use the variation of constants formula and the spectral decomposition of the phase space.

3

A hybrid optimization algorithm based on population migration algorithm and chaos theory

Liu X., Lu Y.

Przegląd Elektrotechniczny

|

2013

|

R. 89, nr 3b

116--118

EN

A new hybrid optimization algorithm based on population migration algorithm (PMA) and chaos theory is proposed by introducing the logistic mapping of chaos theory into PMA. The proposed algorithm aims to improve solution accuracy and convergence, and avoid the prematurity of PMA. Experimental results show that the solution accuracy and convergence of the new algorithm can be effectively improved, and prematurity can be avoided by introducing ergodicity, randomicity, and regularity of the chaos theory into PMA.

PL

W artykule przedstawiono hybrydowy algorytm optymalizacji, bazujący na algorytmie migracyjnym (PMA) i teorii chaosu. Proponowane rozwiązanie ma na celu zwiększenie dokładności, zbieżności oraz unikanie „wcześniactwa” PMA. Wyniki badań eksperymentalnych potwierdzają skuteczność proponowanego algorytmu.

4

Lower bound technique and its applications to function systems and stochastic partial differential equations

Szarek T.

Mathematica Applicanda

|

2013

|

Vol. 41, No. 2

185--198

EN

We formulate some criteria for the existence of an invariant measure for Markov chains and Markov processes. We also show their application in the theory of function systems and stochastic differential equations

PL

W pracy formułujemy kryteria dla istnienia miary niezmienniczej dla łańcuchów i procesów Markowa. Następnie pokazujemy ich użyteczność w teorii iterowanych układów funkcyjnych i stochastycznych równań rózniczkowych.