Results 61 to 70 of about 90,692 (222)
Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.In this research work, a ratio‐dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed.
Muhammad Waqas Yasin +4 more
wiley +1 more source
Complexity, Volume 2026, Issue 1, 2026.This work examines a two‐dimensional discrete Leslie‐type predator–prey system in which the prey dynamics are subject to the Allee effect. The primary objective is to determine equilibrium states and examine bifurcation phenomena in the neighborhood of the positive fixed point, highlighting their ecological significance.
Md. Mutakabbir Khan +3 more
wiley +1 more source
Period-doubling and Neimark–Sacker bifurcations of plant–herbivore models [PDF]
Advances in Difference Equations, 2019 The interaction between plants and herbivores plays a vital role for understanding community dynamics and ecosystem function given that they are the critical link between primary production and food webs. This paper deals with the qualitative nature of two discrete-time plant–herbivore models. In both discrete-time models, function for plant-limitation
E. M. Elsayed, Qamar Din
openaire +2 more sources
Exploring Ecological Dynamics and Bifurcation Structure of a Prey–Predator Model
Complexity, Volume 2026, Issue 1, 2026.The present work examines the dynamical features of a discrete‐time Rosenzweig–MacArthur predator–prey system in which the predation rate is modulated by prey density. Through a combination of theoretical derivations and computational experiments, we establish the occurrence of period‐doubling (PD) and Neimark–Sacker (NS) bifurcations, both of which ...
M. D. Mutakabbir Khan +3 more
wiley +1 more source
Complex Dynamics of Intelligence‐Level Adjustment in Intelligent and Connected Vehicle Manufacturers
Complexity, Volume 2026, Issue 1, 2026.Against the backdrop of software monetization and carbon constraints reshaping competition, it is necessary to identify the stability boundary for intelligence adjustment. We build a heterogeneous duopoly of fuel‐vehicle (FV) and new‐energy‐vehicle (NEV) firms that jointly choose output and intelligence each period, where intelligence shifts effective ...
Chongde Wang +2 more
wiley +1 more source
Complexity, Volume 2026, Issue 1, 2026.This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana +2 more
wiley +1 more source
Neimark-Sacker bifurcation in a discrete dynamical model of population genetics [PDF]
, 2007 In this paper we investigate a genetic model initiated by Gábor Tusnády. This model is a four-dimensional system of difference equations which describes the change of distribution of genotypes from generation to generation in the case of one locus and ...
Attila Dénes, Dénes Attila
core +1 more source
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.A dynamic model of a green supply chain, comprising two manufacturers incorporating green technology innovation and one product component supplier, was constructed based on a gradient adjustment mechanism. The dynamic behavior of the system was analyzed through stability analysis of equilibrium points and bifurcation conditions, using parameter ...
Minjuan Li, Ahmed Ezzat Matouk
wiley +1 more source
Dynamical analysis of discretized Logistic model with Caputo- Fabrizio fractional derivative [PDF]
Computational Ecology and Software, 2021 In this paper we consider a fractional order Logistic model with Caputo-Fabrizio fractional derivative. By applying two-step Adams-Bashforth scheme, we obtain a system of difference equations.
H. Karakaya +3 more
doaj
Fractal and Fractional, 2023 In organisms’ bodies, the activities of enzymes can be catalyzed or inhibited by some inorganic and organic compounds. The interaction between enzymes and these compounds is successfully described by mathematics.
Messaoud Berkal +1 more
doaj +1 more source