Predator–prey dynamics with square root functional responses

PA Braza - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
A predator–prey model is considered in which a modified Lotka–Volterra interaction term is
used as the functional response of the predator to the prey. The interaction term is …

Under the influence of crowding effects: Stability, bifurcation and chaos control for a discrete-time predator–prey model

MA Abbasi, Q Din - International Journal of Biomathematics, 2019 - World Scientific
The interaction between predators and preys exhibits more complicated behavior under the
influence of crowding effects. By taking into account the crowding effects, the qualitative …

Coexistence in seasonally varying predator–prey systems with Allee effect

C Rebelo, C Soresina - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
A general seasonally-varying predator–prey model with Allee effect in the prey growth is
investigated. The analysis is performed only on the basis of some properties determining the …

Positive periodic solutions for Lotka–Volterra systems with a general attack rate

C Lois-Prados, R Precup - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
The paper deals with a non-autonomous Lotka–Volterra type system, which in particular
may include logistic growth of the prey population and hunting cooperation between …

Dynamics of predator–prey models with a strong Allee effect on the prey and predator-dependent trophic functions

G Buffoni, M Groppi, C Soresina - Nonlinear Analysis: Real World …, 2016 - Elsevier
The complex dynamics of a two-trophic chain are investigated. The chain is described by a
general predator–prey system, in which the prey growth rate and the trophic interaction …

A chemotaxis reaction–diffusion model for Multiple Sclerosis with Allee effect

M Bisi, M Groppi, G Martalò, C Soresina - Ricerche di Matematica, 2024 - Springer
In this paper, we study a modification of the mathematical model describing inflammation
and demyelination patterns in the brain caused by Multiple Sclerosis proposed in Lombardo …

Analysis of differential-algebraic prey–predator dynamical model with super predator harvesting on economic perspective

P Santra, GS Mahapatra, D Pal - International Journal of Dynamics and …, 2016 - Springer
The aim of this paper is to study the prey–predator model with concept super predator under
economic perspective. A differential-algebraic model is presented to study the model on …

Effect of weak prey in Leslie–Gower predator–prey model

H Mohammadi, M Mahzoon - Applied Mathematics and Computation, 2013 - Elsevier
A Leslie–Gower prey–predator model incorporating partial prey protection is proposed. Prey
densities are divided into two groups: strong and weak. The special dynamic of each group …

On an impulsive food web system with mutual interference and distributed time delay

Z Wang, L Liu, G Su, Y Shao - Discrete Dynamics in Nature and …, 2020 - Wiley Online Library
In this paper, we present a predator‐prey system with mutual interference and distributed
time delay and study its dynamical behavior. Based on the existence and universality of …

Decomposition of a planar vector field into irrotational and rotational components

A Aimi, G Buffoni, M Groppi - Applied Mathematics and Computation, 2014 - Elsevier
A formulation of the boundary value problem in a finite domain for the scalar potential and
the stream function is given: the basic decomposition equation is assumed as boundary …