Positive Periodic Solution for Neutral-Type Integral Differential Equation Arising in Epidemic Model [PDF]
Mathematics, 2023 This paper is devoted to investigating a class of neutral-type integral differential equations arising in an epidemic model. By using Mawhin’s continuation theorem and the properties of neutral-type operators, we obtain the existence conditions for ...
Qing Yang +4 more
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Existence of positive periodic solution of a periodic cooperative model with delays and impulses [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Sufficient conditions are obtained for the existence of at least one positive periodic solution of a periodic cooperative model with delays and impulses by using Mawhin's continuation theorem of coincidence degree theory.
Yongkun Li, Wenya Xing
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Monotonicity of the period and positive periodic solutions of a quasilinear equation [PDF]
Bulletin of the London Mathematical Society, 2023 Abstract We investigate the monotonicity of the minimal period of periodic solutions of quasilinear differential equations involving the ‐Laplace operator. First, the monotonicity of the period is obtained as a function of a Hamiltonian energy in two cases. We extend to classical results due to Chow–Wang and Chicone for .
Jean Dolbeault +2 more
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Positive Periodic Solution for Pipe/Tank Flow Configurations with Friction [PDF]
Mathematics, 2023 In this article, we study a periodic boundary value problem related to valveless pumping. The valveless pumping is described by the unidirectional flow of liquid in a system.
Haiqing Du, Xiaojing Wang, Bo Du
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Positive solutions for the periodic-parabolic problem with large diffusion [PDF]
Networks and Heterogeneous Media<p>In this paper, we study the positive solutions of the periodic-parabolic logistic equation with indefinite weight function and nonhomogeneous diffusion coefficient. By employing sufficient conditions to guarantee negative principal eigenvalue, we obtain the existence, uniqueness, and stability of the positive periodic solutions.
Mingming Fan, Jian‐Wen Sun
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Positive Almost Periodic Solution on a Nonlinear Differential Equation [PDF]
Mathematical Problems in Engineering, 2011 We study the following nonlinear equation dx(t)/dt = x(t)[a(t) − b(t)xα(t) − f(t, x(t))] + g(t), by using fixed point theorem, the sufficient conditions of the existence of a unique positive almost periodic solution for above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the unique ...
Ni, Hua, Tian, Li-Xin, Liu, Xun
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Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation [PDF]
Abstract and Applied Analysis, 2014 We investigate the periodic nature of the positive solutions of the fuzzy max-difference equation xn+1=maxAn/xn-m,xn-k,n=0,1,…, where k,m∈{1,2,…}, An is a periodic sequence of fuzzy numbers, and x-d,x-d+1,…,x0 are positive fuzzy numbers with d=m,k.
Qiuli He +4 more
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Periodic solution for a delay integro-differential equation in biomathematics [PDF]
, 2003 Sufficient conditions for the existence and uniqueness of periodic solution of a delay integro-differential equation which arise in biomathematics are given.
Bica, Alexandru Mihai, Muresan, Sorin
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On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay [PDF]
Opuscula Mathematica, 2014 We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the ...
Emmanuel K. Essel, Ernest Yankson
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Positive Periodic Solutions of an Epidemic Model with Seasonality [PDF]
The Scientific World Journal, 2013 An SEI autonomous model with logistic growth rate and its corresponding nonautonomous model are investigated. For the autonomous case, we give the attractive regions of equilibria and perform some numerical simulations. Basic demographic reproduction number Rd is obtained.
Sun, Gui-Quan +4 more
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