[HTML][HTML] Stability, bifurcation, and control: Modeling interaction of the predator-prey system with Alles effect

M Qurban, A Khaliq, M Saqib, T Abdeljawad - Ain Shams Engineering …, 2024 - Elsevier
In this study, we investigate the resilience and bifurcation properties of a discrete-time
predator-prey model incorporating an Allee effect, the transfer of prey to predator energy …

Analyzing Stability and Dynamics of an Epidemic Model with Allee's Effect and Mass Action Incidence Rates Incorporating Treatment Stategies.

M Qurban, A Khaliq, M Saqib - Physica Scripta, 2024 - iopscience.iop.org
This paper focuses on transforming a continuous SIR epidemic model into its discrete
counterpart using a non-standard finite difference scheme, motivated by the rich dynamic …

On the solutions of second order generalized difference equations

MMS Manuel, A Kılıçman, GBA Xavier… - Advances in Difference …, 2012 - Springer
In this article, the authors discuss ℓ 2 (ℓ) and c 0 (ℓ) solutions of the second order
generalized difference equation Δ ℓ 2 u (k)+ f (k, u (k))= 0, k∈[a,∞), a> 0 and we prove the …

An application on the second-order generalized difference equations

MMS Manuel, A Kılıçman, GBA Xavier… - Advances in Difference …, 2013 - Springer
In this paper, we study the solutions of the second-order generalized difference equation
having the form of 1 Δ ℓ 2 u (k)+ f (k, u (k))= 0, k∈[a,∞), a> 0, ℓ∈(0,∞), where Δ ℓ u (k)= u …

[PDF][PDF] Oscillation, nonoscillation and growth of solutions of generalized second order nonlinear α-difference equations

MMS Manuel, GBA Xavier, DS Dilip… - Global Journal of …, 2012 - academia.edu
In this paper, the authors discuss the oscillation, nonoscillation and growth of the solutions of
the generalized nonlinear α-difference equation α (ℓ)(p (k) α (ℓ) u (k))+ f (k) F (k, u (k), α (ℓ) u …

[PDF][PDF] The qualitative property of numerical solution of third order sublinear neutral-delay generalized difference equation

PVM Reddy, MMS Manuel… - An International Journal …, 2020 - naturalspublishing.com
Here, we discuss adequate oscillatory conditions for third-order sub linear neutral-delay ℓ-
difference equation∆ ℓ (α2 (k)∆ ℓ (α1 (k)∆ ℓ (x (k)+ p (k) x (k− τℓ))))+ q (k) xβ (k− σℓ)= 0, we …

[PDF][PDF] Oscillation Criteria for a Class of Nonlinear Neutral Generalized α− Difference Equations

A Kılıçman, PVM Reddy, MMS Manuel - Appl. Math, 2018 - digitalcommons.aaru.edu.jo
Oscillation Criteria for a Class of Nonlinear Neutral Generalized α−Difference Equations Page 1
Appl. Math. Inf. Sci. 12, No. 4, 807-813 (2018) 807 Applied Mathematics & Information Sciences …

[PDF][PDF] Asymptotic properties of solutions of higher order nonlinear generalized α− difference equations

MMS Manuel, K Srinivasan, DS Dilip… - Far East Journal of …, 2014 - researchgate.net
ASYMPTOTIC PROPERTIES OF SOLUTIONS OF HIGHER ORDER NONLINEAR GENERALIZED
α-DIFFERENCE EQUATIONS Page 1 Far East Journal of Mathematical Sciences (FJMS) © 2014 …

[PDF][PDF] Asymptotic and oscillatory behaviour of certain nonlinear generalized α-difference equations

MMS Manuel, K Srinivasan, DS Dilip… - International Journal of …, 2014 - researchgate.net
In this paper, the authors discuss the asymptotic and oscillatory behavior of solutions of the
nonlinear generalized α− difference equation∆ α (ℓ)(p (k)∆ α (ℓ)(u (k)+ q (k) u (k− ρ)))+ t (k) f …

[PDF][PDF] Oscillation, nonoscillation and growth of solutions of generalized nonlinear difference equation of second order

MMS Manuel, GBA Xavier, DS Dilip… - … in Computer and …, 2012 - researchgate.net
RESEARCH ARTICLE Oscillation, Nonoscillation and Growth of Solutions of Generalized
Nonlinear Difference Equation of Second Orde Page 1 J. of Mod. Meth. in Numer. Math …