Optimal sterile insect release for area-wide integrated pest management in a density regulated pest population by Luis F. Gordillo

“…The discrete time model for the population dynamics includes the effects of sterile insect release and density dependence in the pest population. …”
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Analysis of a Single Species Model with Dissymmetric Bidirectional Impulsive Diffusion and Dispersal Delay by Haiyun Wan, Long Zhang, Zhidong Teng

“…In most models of population dynamics, diffusion between two patches is assumed to be either continuous or discrete, but in the real natural ecosystem, impulsive diffusion provides a more suitable manner to model the actual dispersal (or migration) behavior for many ecological species. …”
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Comparative studies of the mountain Kinnekulle vegetation by Marina Voinova, Benny Lönn

“…As part of our comparative study of Kinnekulle’s flora, between 2018 and 2023 we have studied population dynamics of plants growing there. In the present study, we compare our plant inventory results and those provided by Carl Linnaeus in his book “Västgöta Resa År 1746” (“The trip to Västra Götaland, 1746”), providing evidence that most of the plants listed by Linnaeus can still be found in the Kinnekulle area (58–94% occurrence). …”
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Existence and Uniqueness of Positive and Bounded Solutions of a Discrete Population Model with Fractional Dynamics by J. E. Macías-Díaz

“…We depart from the well-known one-dimensional Fisher’s equation from population dynamics and consider an extension of this model using Riesz fractional derivatives in space. …”
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A Duality Approach to the Genealogies of Discrete Nonneutral Wright-Fisher Models by Thierry E. Huillet

“…In the neutral case, the duality concept has been proved of particular interest in the understanding of backward in time ancestral process from the forward in time branching population dynamics. We show that duality formulae still are of great use when considering discrete nonneutral Wright-Fisher models. …”
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The Neimark–Sacker Bifurcation and Global Stability of Perturbation of Sigmoid Beverton–Holt Difference Equation by M. R. S. Kulenović, Connor O’Loughlin, E. Pilav

“…This difference equation is one of the perturbations of the sigmoid Beverton–Holt difference equation, which is a major mathematical model in population dynamics. We will show that this difference equation exhibits transcritical and Neimark–Sacker bifurcations but not flip (period-doubling) bifurcation since this difference equation cannot have period-two solutions. …”
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Diagrammatic Analysis of Nonhomogeneous Diffusion by Julio A. Hernández

“…Power laws are ubiquitous findings in diverse systems, such as metabolic processes, population dynamics, and communication networks, and have been the object of many interpretative formal approaches. …”
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A Logistic Growth Model with Discrete-Time Delay and a Restriction on Harvesting by Martin Anokye

“…The paper examines the fish population dynamics of a delay logistic model with restrictions on harvesting in a deterministic environment. …”
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The cell as secret agent—autonomy and intelligence of the living cell: driving force of development by Brian J. Ford

“…We cannot comprehend the realities of population dynamics and evolutionary impetus without the cell being at the heart of our considerations. …”
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Modeling and Dynamic Analysis in a Hybrid Stochastic Bioeconomic System with Double Time Delays and Lévy Jumps by Chao Liu, Longfei Yu, Luping Wang

“…A double delayed hybrid stochastic prey-predator bioeconomic system with Lévy jumps is established and analyzed, where commercial harvesting on prey and environmental stochasticity on population dynamics are considered. Two discrete time delays are utilized to represent the maturation delay of prey and gestation delay of predator, respectively. …”
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Impulsive Control and Synchronization of Complex Lorenz Systems by Shaban Aly, Ali Al-Qahtani, Houari B. Khenous, Gamal M. Mahmoud

“…Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. …”
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Modeling evolution and persistence of neurological viral diseases in wild populations by Dobromir T. Dimitrov, Aaron A. King

“…Viral infections are one of the leading source of mortality worldwide.The great majority of them circulate and persist in wild reservoirs and periodically spill over into humans or domestic animals.In the wild reservoirs, the progression of disease is frequently quite different from that in spillover hosts.We propose a mathematical treatment of the dynamics of viral infections in wild mammals using models with alternative outcomes.We develop and analyze compartmental epizootic models assuming permanent or temporary immunity of the individuals surviving infections and apply them to rabies in bats.We identify parameter relations that support the existing patterns in the viral ecology and estimate those parameters that are unattainable through direct measurement.We also investigate how the duration of the acquired immunity affects the disease and population dynamics.…”
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Conservation of forest biomass and forest–dependent wildlife population: Uncertainty quantification of the model parameters by Ibrahim, M. Fanuel, Silas, Mirau, Damian, Kajunguri, Francis, Moyo

“…In this paper, a non–linear mathematical model to study the conservation of forest and wildlife species that are reliant on forest ecosystem within the framework of human population dynamics and its related activities is developed and analysed. …”
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Conservation of forest biomass and forest–dependent wildlife population: Uncertainty quantification of the model parameters by Fanuel, Ibrahim M., Mirau, Silas, Kajunguri, Damian, Moyo, Francis

“…In this paper, a non–linear mathematical model to study the conservation of forest and wildlife species that are reliant on forest ecosystem within the framework of human population dynamics and its related activities is developed and analysed. …”
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Demographic and migration processes in the Far East of Russia (on the example of Primorsky Krai) by K. N. Serdyukov

“…Based on materials of official statistics, the resident population dynamics of all Russia’s subjects that are part of the FEFD is considered. …”
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On the Existence and Stability of Positive Solutions of Eigenvalue Problems for a Class of P-Laplacian ψ-Caputo Fractional Integro-Differential Equations by Yahia Awad

“…Overall, this study offers a comprehensive analysis of stability and solution existence in a specific class of differential equations, with implications that extend to real-world scenarios such as engineering systems, financial modeling, population dynamics, epidemiology, and ecological studies. …”
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Population Consequences of Parent-Offspring Competition: An Individual-Based Model by Janusz Uchmański

“… The article compares different versions of individual-based models of single population dynamics with overlapping generations with results of the model of population with non-overlapping generations. …”
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Paths to Polarization: How Extreme Views, Miscommunication, and Random Chance Drive Opinion Dynamics by Matthew A. Turner, Paul E. Smaldino

“…This work has implications for understanding the population dynamics of beliefs, opinions, and polarization as well as broader implications for the analysis of agent-based models of social phenomena.…”
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Diffusively-Coupled Rock-Paper-Scissors Game with Mutation in Scale-Free Hierarchical Networks by Takashi Nagatani, Genki Ichinose

“…We also show that the scaling law holds for the population dynamics which suggests that the transition points approach zero in the limit of infinite size.…”
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The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator by Jevgeņijs Carkovs, Jolanta Goldšteine, Kārlis Šadurskis

“…If the predators’ gains and the time intervals between predator attacks are sufficiently small, our proposed method allows us to derive an approximative average dynamical system for mathematical expectations of population dynamics and the stochastic Ito differential equation for the random deviations from the average motion. …”
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