Nonlinear biological population model; computational and numerical investigations

MMA Khater - Chaos, Solitons & Fractals, 2022 - Elsevier
This research paper provides precise solutions for nonlinear fractional population biology
(FBP) models by implementing the generalized Khater (GK) technique and utilizing …

Abundant and accurate computational wave structures of the nonlinear fractional biological population model

MMA Khater - International Journal of Modern Physics B, 2023 - World Scientific
In this paper, the generalized exponential (GExp) method has been employed to construct
novel solitary wave solutions of the nonlinear fractional biological population (FBP) model …

Oblique explicit wave solutions of the fractional biological population (BP) and equal width (EW) models

AH Abdel-Aty, MMA Khater, D Baleanu… - Advances in Difference …, 2020 - Springer
This research uses the extended exp-(− φ (ϑ)) (-φ(ϑ))-expansion and the Jacobi elliptical
function methods to obtain a fashionable explicit format for solutions to the fragmented …

Lie symmetry analysis and exact solutions of the time-fractional biological population model

ZY Zhang, GF Li - Physica A: Statistical Mechanics and Its Applications, 2020 - Elsevier
We first perform a complete Lie symmetry classification for the time-fractional biological
population model with Riemann–Liouville fractional derivative and then construct the …

Travelling waves solution for fractional-order biological population model

H Khan, R Shah, JF Gómez-Aguilar… - … Modelling of Natural …, 2021 - mmnp-journal.org
In this paper, we implemented the generalized and extended methods to solve fractional-
order biological population models. The fractional-order derivatives are represented by the …

New results of some of the conformable models arising in dynamical systems

MN Alam, OA Ilhan, J Manafian… - Advances in …, 2022 - Wiley Online Library
This article investigates the new results of three nonlinear conformable models (NLCMs). To
study such varieties of new soliton structures, we perform the generalized Kudryashov (GK) …

[HTML][HTML] Adequate wide-ranging closed-form wave solutions to a nonlinear biological model

M Al-Amin, MN Islam, MA Akbar - Partial Differential Equations in Applied …, 2021 - Elsevier
The auxiliary equation method and the extended tanh function method are put in use to
establish wide-ranging, further general and standard closed-form traveling wave solutions to …

[HTML][HTML] Semi analytical scheme for the presentation of solution to Fractional Fokker–Planck Equation

WS Hussain, S Ali, K Shah, B Abdalla… - … Differential Equations in …, 2024 - Elsevier
In this work, we have also proposed new semi analytical scheme combining least-squares
and asymptotic homotopy perturbation methods AHPM for the solution of Fractional Fokker …

[PDF][PDF] Analytic approximate solution of rabies transmission dynamics using homotopy perturbation method

M Sinan, A Khan - Matrix Science Mathematics (MSMK), 2020 - researchgate.net
Rabies is an infection that mostly affects the brain of an Infected animal or individual, caused
by viruses belonging to The genus Lyssavirus of the family Rhabdoviridae and order …

[HTML][HTML] Dynamical behavior of whoo** cough SVEIQRP model via system of fractal fractional differential equations

R Begum, S Ali, N Fatima, K Shah… - … Differential Equations in …, 2024 - Elsevier
In this work, the application of the system of fractal fractional differential equations is
exploited. Infectious diseases modeling of non-integer order attracts many mathematicians …