A study on fractional host–parasitoid population dynamical model to describe insect species
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 …
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 …
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
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
perspectives:(i) the functional response is of the Ivlev type and (ii) the prey growth rate is of …