A study on fractional host–parasitoid population dynamical model to describe insect species

S Kumar, A Kumar, B Samet… - Numerical Methods for …, 2021 - Wiley Online Library
The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …

Pattern formation of a predator–prey system with Ivlev-type functional response

W Wang, L Zhang, H Wang, Z Li - Ecological Modelling, 2010 - Elsevier
In this paper, we investigate the spatial pattern formation of a predator–prey system with
prey-dependent functional response Ivlev-type and reaction-diffusion. The Hopf bifurcation …

On the qualitative study of a discrete fractional order prey–predator model with the effects of harvesting on predator population

MJ Uddin, SMS Rana, S Işık, F Kangalgil - Chaos, Solitons & Fractals, 2023 - Elsevier
This research investigates the discrete prey–predator model by including harvesting on the
predator population, in the sense of Caputo fractional derivative. We define the topological …

Preliminary evidence for chaotic signatures in host-microbe interactions

Y Sella, NA Broderick, KM Stouffer, DL McEwan… - Msystems, 2024 - Am Soc Microbiol
Host-microbe interactions constitute dynamical systems that can be represented by
mathematical formulations that determine their dynamic nature and are categorized as …

Complex Dynamics of a Discrete‐Time Predator‐Prey System with Ivlev Functional Response

H Baek - Mathematical Problems in Engineering, 2018 - Wiley Online Library
The dynamics of a discrete‐time predator‐prey system with Ivlev functional response is
investigated in this paper. The conditions of existence for flip bifurcation and Hopf bifurcation …

[HTML][HTML] Dynamics in a diffusive predator–prey system with strong Allee effect and Ivlev-type functional response

X Wang, J Wei - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
The dynamics of a kind of reaction–diffusion predator–prey system with strong Allee effect in
the prey population is considered. We prove the existence and uniqueness of the solution …

Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems

IG Pearce, MAJ Chaplain, PG Schofield… - Journal of mathematical …, 2007 - Springer
When searching for hosts, parasitoids are observed to aggregate in response to chemical
signalling cues emitted by plants during host feeding. In this paper we model aggregative …

Diffusion-driven stability and bifurcation in a predator–prey system with Ivlev-type functional response

X Wang, J Wei - Applicable Analysis, 2013 - Taylor & Francis
A diffusive predator–prey system with Ivlev-type functional response subject to Neumann
boundary conditions is considered. Hopf and steady-state bifurcation analysis are carried …

Optimization of control strategies for epidemics in heterogeneous populations with symmetric and asymmetric transmission

MLN Mbah, CA Gilligan - Journal of theoretical biology, 2010 - Elsevier
There is growing interest in incorporating economic factors into epidemiological models in
order to identify optimal strategies for disease control when resources are limited. In this …

Dynamical Complexities of a Discrete Ivlev‐Type Predator‐Prey System

SMS Rana - Discrete Dynamics in Nature and Society, 2023 - Wiley Online Library
In this study, we examine a discrete predator‐prey system from the following two
perspectives:(i) the functional response is of the Ivlev type and (ii) the prey growth rate is of …