arXiv subjects

Aniket Banerjee

Publications and source records attributed to Aniket Banerjee.

8 recordsLinked to original sources

arXiv2026

Effect of wind on prey-predator dynamics with group defense and additional food strategy

Wind plays a crucial role in changing prey defense strategy and predation efficiency. We develop and analyze a prey-predator model that incorporates wind driven environmental effects, prey group defense, and an additional food strategy for the predator. Wind intensity is assumed to modulate predation efficiency, while prey aggregation reduces predation pressure at high densities, and supplementary food alters predator growth independent of prey abundance. We investigate the existence and stability of biologically feasible equilibrium points. The analysis reveals that wind strength and additional food supply can induce stability switches, oscillatory dynamics via Hopf bifurcation, and more complex behaviors including saddle node and Bogdanov Takens bifurcations. Our results demonstrate that environmental forcing and resource supplementation jointly shape predator persistence and population fluctuations, providing theoretical insights into ecological management strategies involving food enrichment under variable environmental conditions.

q-bio.PE↗

arXiv2025

A High-Performance Curve25519 and Curve448 Unified Elliptic Curve Cryptography Accelerator

In modern critical infrastructure such as power grids, it is crucial to ensure security of data communications between network-connected devices while following strict latency criteria. This necessitates the use of cryptographic hardware accelerators. We propose a high-performance unified elliptic curve cryptography accelerator supporting NIST standard Montgomery curves Curve25519 and Curve448 at 128-bit and 224-bit security levels respectively. Our accelerator implements extensive parallel processing of Karatsuba-style large-integer multiplications, restructures arithmetic operations in the Montgomery Ladder and exploits special mathematical properties of the underlying pseudo-Mersenne and Solinas prime fields for optimized performance. Our design ensures efficient resource sharing across both curve computations and also incorporates several standard side-channel countermeasures. Our ASIC implementation achieves record performance and energy of 10.38 $\mu$s / 54.01 $\mu$s and 0.72 $\mu$J / 3.73 $\mu$J respectively for Curve25519 / Curve448, which is significantly better than state-of-the-art.

cs.CR↗

arXiv2024

T(w)o patch or not t(w)o patch: A novel additional food model

A number of top down bio-control models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest dependent monotone functional response is introduced into a ``patch" such as a prairie strip with AF, and then disperses or drifts into a neighboring ``patch" such as a crop field, to target a pest. We show the pest extinction state is attainable in the crop field and can be globally attracting. The AF model with patch structure can eliminate predator explosion present therein and can keep pest densities lower than the classical top-down bio-control model. We provide the first proof of the global stability of the interior equilibrium for the classical AF model. We also observe ``patch-specific chaos" - the pest occupying the crop field can oscillate chaotically, while the pest in the prairie strip oscillates periodically. We discuss these results in light of bio-control strategies that utilize state-of-the-art farming practices such as prairie strips and drift and dispersal pressures driven by climate change.

q-bio.PE↗

arXiv2023

Novel Dynamics in an Additional Food provided Predator-Prey System with mutual interference

The provision of additional food (AF) sources to an introduced predator has been identified as a mechanism to improve pest control. However, AF models with prey dependent functional responses can cause unbounded growth of the predator \cite{S27}. To avoid such dynamics, an AF model with mutual interference effect has been proposed \cite{S02}. The analysis therein reveals that if the quantity of additional food $ξ> h(ε)$, where $ε$ is the mutual interference parameter, then pest eradication is possible, and this is facilitated via a transcritical bifurcation. We revisit this model and show novel dynamical behaviors. In particular, pest eradication is possible for a tighter range of AF $g(ε) < ξ< f(ε) < h(ε)$, and can also occur via a saddle node bifurcation. We observe bi-stability, as well as local bifurcations of Hopf type. We also prove a global bifurcation, of homoclinic type. This bifurcation in turn is shown to create a non-standard dynamic wherein the pest extinction state becomes an ``almost" global attractor. To the best of our knowledge, this is the first proof of existence of such a dynamical structure in AF models. We discuss our analysis in the context of designing novel bio-control strategies.

math.DS↗

arXiv2023

An "adaptive" approach to control explosive aphid populations

Classical models of aphid population dynamics are unable to explain multi-peak patterns in field populations. We consider the variable carrying capacity model (VCM), which can generate such complex multi-peak dynamics, but is also demonstrated to show finite-time blow-up behavior via a sign switching structural instability. We build an adaptive behavioral model with a density-dependent switch to stabilize growth, effectively eliminating blow-up, and also capable of generating multiple peaks. Furthermore, guided by empirical work on environment drivers for pests, we devise a non-autonomous model with time-dependent host plant fitness, successfully connecting transient population dynamics with abiotic drivers such as flooding. Finally, we discuss the practical significance of the results through the Economic Threshold (ET) and Economic Injury Level (EIL) calculation for all models. Our simulations all clearly show that aphid abundances exceed these threshold levels, and control is required. Our work provides a stable and biologically relevant prediction scheme for pest outbreaks and their management strategy.

q-bio.PE↗

arXiv2023

The effect of "very fast" strategies on two species competition

We consider the effect of finite time extinction mechanisms (FTEM) such as (1) semi-linear harvesting terms, and (2) quasi-linear fast diffusion terms on two species Lokta-Volterra competition models. We show that these mechanisms can alter classical dynamics of competitive exclusion, and weak and strong competition by acting only on a \emph{small} portion of the weaker competitors' population, analogous to small defector populations in game theory \cite{DC23}. In particular, a stronger competitors population, with a few individuals dispersing (``defecting") very quickly, could exhibit bi-stability, as well as competitive exclusion \emph{reversal}. The non-linear harvesting is applied to aphid-soybean crop systems, wherein novel dynamics are observed. Applications to bio-control of invasive pests such as the soybean aphid are discussed.

math.DS↗

arXiv2022

Additional food causes predator "explosion" -- unless the predators compete

The literature posits that an introduced predator population, is able to drive it's target pest population extinct, if supplemented with high quality additional food of quantity $ξ> ξ_{critical}$, \cite{SP11, SPV18, SPD17, SPM13}. We show this approach leads to infinite time blow-up of the predator population. We propose an alternate model in which the additional food induces predator competition. Analysis herein indicates that there are threshold values $c^{*}_{1} < c^{*}_{2} < c^{*}_{3}$ of the competition parameter $c$, s.t. when $c < c^{*}_{1}$, the pest free state is globally stable, when $c^{*}_{2} < c < c^{*}_{3}$, bi-stability is possible, and when $c^{*}_{3} < c$, up to three interior equilibriums could exist. As $c$ and $ξ$-$c$ are varied, standard co-dimension one and co-dimension two bifurcations are observed. The recent dynamical systems literature involving predator competition, report several non-standard bifurcations such as the saddle-node-transcritical bifurcation (SNTC) occurring in co-dimension two \cite{KSV10, BS07}, and cusp-transcritical bifurcation (CPTC) in co-dimension three, \cite{D20, BS07}. We show that in our model structural symmetries can be exploited to construct a SNTC in co-dimension two, and a CPTC also in co-dimension two. We further use these symmetries to construct a novel pitchfork-transcritical bifurcation (PTC) in co-dimension two, thus explicitly characterizing a new organizing center of the model. Dynamics such as homoclinic orbits, concurrently occurring limit cycles, and competition driven Turing patterns are also observed. Our findings indicate that increasing additional food in predator-pest models, can hinder bio-control, contrary to some of the literature. However, additional food that also induces predator competition, leads to novel bio-control scenarios, and complements the work in \cite{H21, B98, K04, D20, BS07, VH19}.

q-bio.PE↗

arXiv2021

Exploring the Dynamics of Virulent and Avirulent Aphids: A Case for a "Within Plant" Refuge

The soybean aphid, Aphis glycines (Hemiptera: Aphididae), is an invasive pest that can cause severe yield loss to soybeans in the northcentral United States. A tactic to counter this pest is the use of aphid-resistant soybean varieties. However, the occurrence of virulent biotypes can alter plant physiology and impair the use of this management strategy. Soybean aphids can alter soybean physiology primarily by two mechanisms, feeding facilitation and the obviation of resistance, favoring subsequent colonization by additional conspecifics. We developed a non-local, differential equation population model, to explore the dynamics of these biological mechanisms on soybean plants co-infested with virulent and avirulent aphids. We then use demographic parameters from laboratory experiments to perform numerical simulations via the model. These simulations successfully mimic various aphid dynamics observed in the field. Our model showed an increase in colonization of virulent aphids increases the likelihood that aphid-resistance is suppressed, subsequently increasing the survival of avirulent aphids, producing an indirect, positive interaction between the biotypes. These results suggest the potential for a "within plant" refuge that could contribute to the sustainable use of aphid resistant soybeans.

math.DS↗