Communication in Biomathematical Sciences

A mathematical model for competition between local and invasive fish in Lake Poso, Indonesia

2025-11-10T21:52:54+07:00

The introduction of Nile Tilapia into Lake Poso has created both ecological and economic challenges, particularly in its interaction with the endemic species Oryzias nigrimas. To understand the potential long-term impacts of this competition and the community’s economic use of Nile Tilapia, we introduced a novel mathematical model describing their population dynamics. The model is formulated as a four-dimension ordinary differential equations and analyzed for the positivity of solutions, existence and local stability of equilibrium points, and the influence of harvesting strategies. Numerical simulations, including bifurcation and time-series analyses, are conducted to assess the effects of constant and periodic harvesting of Nile Tilapia. The findings suggest that periodic harvesting can play a significant role in maintaining population balance and mitigating the ecological pressure on Oryzias nigrimas, offering insights for sustainable management of invasive fish in Lake Poso.

Redox Balance and Repair Fidelity Govern the Continuum of Radiation Effects in Plants

2025-11-10T20:01:51+07:00

Ionizing radiation exerts both beneficial and deleterious effects on plants, depending on dose,
rate and physiological state. Historically, two distinct research traditions have emerged: the genetic
paradigm, focused on high-dose mutagenesis for breeding, and the physiological paradigm, focused
on low-dose stimulation known as radiohormesis. Although often treated as independent, both derive
from the same underlying radiochemical and biochemical chain of events: energy deposition, reactive
oxygen species (ROS) formation, antioxidant response and repair fidelity.
This paper proposes a unifying theoretical framework in which physiological, mutagenic and
sterilizing outcomes appear as continuous manifestations of a single dynamic balance between ROS
generation and repair throughput. A minimal kinetic model is introduced, coupling ROS accumulation,
inducible antioxidant capacity and cumulative lesion load. From these relations, a dimensionless
repair challenge number (Ξ) is derived, serving as the control parameter that orders the transition
between adaptive, mutagenic and lethal regimes.
Building on this kinetic foundation, we formulate a unified dose–effect law E(D) that reproduces
the classical hormetic rise at low doses and the damage-dominated decline at high doses. Analytical
results demonstrate the existence and uniqueness of an interior maximum corresponding to optimal
physiological response, while a fidelity function F (D) links this maximum to the onset of mutational
inaccuracy. Together, these relations help clarify why small variations in dose, rate or genotype can
shift outcomes from stimulation to inhibition or mutation.

Dynamical Analysis of Mpox Transmission Model Incorporating Asymptomatic Individuals

2025-11-03T14:03:40+07:00

In this paper, we develop a mathematical model for the transmission dynamics of monkeypox (Mpox) involving both human and rodent populations, with the human population including an asymptomatic individuals. The analysis begins by establishing the well-posedness of the model using the contraction mapping principle, ensuring the existence, uniqueness, and stability of the solution. The model is further examined for the boundedness and non-negativity of the solutions. Three equilibrium points are identified: the disease-free equilibrium, the human-endemic equilibrium, and the endemic equilibrium. The disease-free equilibrium is shown to be both locally and globally asymptotically stable when the basic reproduction number is less than one. If they exist, the human-endemic equilibrium is proven to be globally asymptotically stable when the basic reproduction number of the rodent population is less than one, and the endemic equilibrium is always globally asymptotically stable. The sensitivity analysis indicates that vaccination and contact dynamics are the most influential factors in human transmission, while rodent transmission is primarily shaped by contact rates and mortality-related factors. Numerical simulations are provided to illustrate and validate the analytical results.

CTL Model with Ethnomathematics and Green School to Improve 3T Papua Students' Literacy

2025-10-22T20:41:50+07:00

Environmental degradation in Papua, including deforestation, river pollution, and land degradation, increasingly threatens the sustainability of ecosystems and the livelihoods of indigenous communities who depend on nature. Environmental education at the primary school level plays a strategic role in fostering children’s ecological awareness as future custodians of the land. However, most environmental education practices in Papuan schools have not been systematically integrated with local wisdom, which, in fact, holds rich ecological values. Therefore, this study aims to formulate an ethnopedagogical learning strategy for ecological education among Papuan children to prevent the destruction of green environments. This research employed a qualitative descriptive approach. Data were collected through classroom observations, interviews with teachers and elementary students, and documentation of local wisdom–based learning practices. Data analysis was conducted using reduction, display, and inductive conclusion drawing techniques. The findings reveal that (1) ethnopedagogical learning strategies effectively connect Papuan cultural values such as customary rules for forest protection, folklore, and collective practices with ecological education in primary schools; (2) there was an observable improvement in students’ understanding, attitudes, and pro-environmental behaviors after participating in the learning activities; and (3) local values such as prohibitions against indiscriminate tree cutting, the use of traditional medicinal plants, and the philosophy of “nature as the mother of life” can be systematically integrated into school curricula. In conclusion, the application of ethnopedagogy in environmental education not only strengthens the cultural identity of Papuan children but also serves as a preventive strategy against green ecological degradation. These findings are expected to inform teachers, schools, and local governments in developing culturally grounded environmental education programs.