1,442
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

Unstable novel and accurate soliton wave solutions of the nonlinear biological population model

, , , & ORCID Icon
Pages 19-25 | Received 07 Dec 2020, Accepted 24 Dec 2021, Published online: 11 Jan 2022

References

  • Abdel-Aty, A.-H., Khater, M. M., Baleanu, D., Abo-Dahab, S., Bouslimi, J., & Omri, M. (2020). Oblique explicit wave solutions of the fractional biological population (BP) and equal width (EW) models. Advances in Difference Equations, 2020(1), 1–17. doi:10.1186/s13662-020-03005-0
  • Attia, R. A., Khater, M. M., El-Sayed Ahmed, A., & El-Shorbagy, M. (2021). Accurate sets of solitary solutions for the quadratic–cubic fractional nonlinear Schrödinger equation. AIP Advances, 11(5), 055105. doi:10.1063/5.0050624
  • Gurtin, M. E., & MacCamy, R. C. (1977). On the diffusion of biological populations. Mathematical Biosciences, 33(1-2), 35–49. doi:10.1016/0025-5564(77)90062-1
  • Khater, M. M. (2021a). New traveling solutions of the fractional nonlinear KdV and ZKBBM equations with ABR fractional operator. International Journal of Modern Physics B, 35(22), 2150232.
  • Khater, M. M. (2021b). Abundant breather and semi-analytical investigation: On high-frequency waves’ dynamics in the relaxation medium. Modern Physics Letters B, 35(22), 2150372. doi:10.1142/S0217984921503723
  • Khater, M. M. (2021c). Diverse solitary and Jacobian solutions in a continually laminated fluid with respect to shear flows through the Ostrovsky equation. Modern Physics Letters B, 35(13), 2150220. doi:10.1142/S0217984921502201
  • Khater, M. M. (2021d). Analytical simulations of the Fokas system; extension (2 + 1)-dimensional nonlinear Schrödinger equation. International Journal of Modern Physics B, 35(28), 2150286. doi:10.1142/S0217979221502866
  • Khater, M. M. (2021e). Abundant wave solutions of the perturbed Gerdjikov–Ivanov equation in telecommunication industry. Modern Physics Letters B, 35(26), 2150456. doi:10.1142/S021798492150456X
  • Khater, M. M. (2021f). Diverse bistable dark novel explicit wave solutions of cubic–quintic nonlinear Helmholtz model. Modern Physics Letters B, 35(26), 2150441. doi:10.1142/S0217984921504418
  • Khater, M. M. (2021g). Numerical simulations of zakharov’s (zk) non-dimensional equation arising in langmuir and ion-acoustic waves. Modern Physics Letters B, 35(31), 2150480. doi:10.1142/S0217984921504807
  • Khater, M., Akinyemi, L., Elagan, S. K., El-Shorbagy, M. A., Alfalqi, S. H., Alzaidi, J. F., & Alshehri, N. A. (2021). Bright–dark soliton waves’ dynamics in pseudo spherical surfaces through the nonlinear Kaup–Kupershmidt equation. Symmetry, 13(6), 963. doi:10.3390/sym13060963
  • Khater, M., & Alabdali, A. M. (2021). Multiple novels and accurate traveling wave and numerical solutions of the (2 + 1) dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation. Mathematics, 9(12), 1440. doi:10.3390/math9121440
  • Khater, M. M., Alfalqi, S., Alzaidi, J., Salama, S. A., & Wang, F, (2022). Plenty of wave solutions to the ill-posed boussinesq dynamic wave equation under shallow water beneath gravity. AIMS Mathematics, 7(1), 54–81. doi:10.3934/math.2022004
  • Khater, M. M., & Attia, R. A. (2021). Superabundant explicit wave and numerical solutions of the fractional isotropic extension model of the KdV model. In: Advanced Numerical Methods for Differential Equations (pp. 227–278). CRC Press.
  • Khater, M., Attia, R. A., & Lu, D. (2021b). Superabundant novel solutions of the long waves mathematical modeling in shallow water with power-law nonlinearity in ocean beaches via three recent analytical schemes. The European Physical Journal Plus, 136(10), 1–19. doi:10.1140/epjp/s13360-021-01985-w
  • Khater, M. M., Elagan, S., El-Shorbagy, M., Alfalqi, S., Alzaidi, J., & Alshehri, N. A. (2021). Folded novel accurate analytical and semi-analytical solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation. Communications in Theoretical Physics, 73(9), 095003. doi:10.1088/1572-9494/ac049f
  • Khater, M. M., Elagan, S., Mousa, A., El-Shorbagy, M., Alfalqi, S., Alzaidi, J., & Lu, D. (2021). Sub-10-fs-pulse propagation between analytical and numerical investigation. Results in Physics, 25, 104133. doi:10.1016/j.rinp.2021.104133
  • Khater, M. M., & Lu, D. (2021). Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation. Modern Physics Letters B, 35(19), 2150324. doi:10.1142/S0217984921503243
  • Khater, M., Lu, D., & Inc, M. (2021). Diverse novel solutions for the ionic current using the microtubule equation based on two recent computational schemes. Journal of Computational Electronics, 20(6), 2604–2610. doi:10.1007/s10825-021-01810-8
  • Khater, M. A., Mostafa, A. M., & Al-Ashkar, E. A. (2021). Role of laser fluence on ionic emission characteristics from steel plasmas induced in atmospheric air. Radiation Physics and Chemistry, 185, 109515. doi:10.1016/j.radphyschem.2021.109515
  • Khater, M. M., Park, C., Lee, J. R., Mohamed, M. S., & Attia, R. A. (2021). Five semi analytical and numerical simulations for the fractional nonlinear space-time telegraph equation. Advances in Difference Equations, 2021(1), 1–9. doi:10.1186/s13662-021-03387-9
  • Khater, M. M., & Salama, S. A. (2021a). Novel analytical simulations of the complex nonlinear Davey–Stewartson equations in the gravity-capillarity surface wave packets. Journal of Ocean Engineering and Science.
  • Khater, M. M., & Salama, S. A. (2021b). Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity. Journal of Ocean Engineering and Science.
  • Morris, J. A., Shertzer, K. W., & Rice, J. A. (2011). A stage-based matrix population model of invasive lionfish with implications for control. Biological Invasions, 13(1), 7–12. doi:10.1007/s10530-010-9786-8
  • Rashid, S., Kubra, K. T., & Ullah, S. (2021). Fractional spatial diffusion of a biological population model via a new integral transform in the settings of power and mittag-leffler nonsingular kernel. Physica Scripta, 96(11), 114003. doi:10.1088/1402-4896/ac12e5
  • Sokal, R. R., Oden, N. L., & Thomson, B. A. (2010). Local spatial autocorrelation in a biological model. Geographical Analysis, 30(4), 331–354. doi:10.1111/j.1538-4632.1998.tb00406.x
  • Tariq, K. U., Khater, M. M., & Younis, M. (2021). Explicit, periodic and dispersive soliton solutions to the conformable time-fractional Wu–Zhang system. Modern Physics Letters B, 35(24), 2150417. doi:10.1142/S0217984921504170
  • Topaz, C. M., & Bertozzi, A. L. (2004). Swarming patterns in a two-dimensional kinematic model for biological groups. SIAM Journal on Applied Mathematics, 65(1), 152–174. doi:10.1137/S0036139903437424