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Difference equations: New trends and applications in biology, medicine and biotechnology

  1. We consider a discrete Nicholson’s blowflies model involving a linear harvesting term. Under appropriate assumptions, sufficient conditions are established for the existence and exponential convergence of posi...

    Authors: Jehad Alzabut, Yaşar Bolat and Thabet Abdeljawad
    Citation: Advances in Difference Equations 2012 2012:158
  2. Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect...

    Authors: Fahd Jarad, Thabet Abdeljawad and Dumitru Baleanu
    Citation: Advances in Difference Equations 2012 2012:142
  3. In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory ...

    Authors: Bashir Ahmad, Sotiris K Ntouyas and Ioannis K Purnaras
    Citation: Advances in Difference Equations 2012 2012:140
  4. In this article, we establish the new result on homoclinic orbits for a class of damped vibration systems. Some recent results in the literature are generalized and significantly improved.

    Authors: Juntao Sun, Juan J Nieto and Mario Otero-Novoa
    Citation: Advances in Difference Equations 2012 2012:102