Competition Modeling of the Combined Impact of Pterygoplichthys spp. and Invasive Trichogaster spp. on Native Freshwater Fish: Stability, Sensitivity, and Management Scenarios

Tatu Mutmainah; Aditiya Eka Nugraha; Silvi Luthfiyani; Dzikra Dzurratun Nisa; Arif Muchyidin

doi:10.58421/misro.v5i3.1984

DOI:

https://doi.org/10.58421/misro.v5i3.1984

Authors

Tatu Mutmainah Universitas Islam Negeri Siber Syekh Nurjati Cirebon
Aditiya Eka Nugraha Universitas Islam Negeri Siber Syekh Nurjati Cirebon https://orcid.org/0009-0008-6929-2802
Silvi Luthfiyani Universitas Islam Negeri Siber Syekh Nurjati Cirebon
Dzikra Dzurratun Nisa Universitas Islam Negeri Siber Syekh Nurjati Cirebon
Arif Muchyidin Universitas Islam Negeri Siber Syekh Nurjati Cirebon

Keywords:

Janitor Fish, Gourami, Lotka–Volterra competition, Competitive release, Runge–Kutta method, Competitive exclusion

Abstract

Invasive fish threaten native freshwater fish communities, yet mathematical studies have mostly examined a single invader, leaving the combined effects of co-occurring invaders and their underlying mechanisms unquantified. This study develops a three-species ordinary differential equation model of janitor fish (Pterygoplichthys spp.), an invasive gourami population (Trichogaster spp.), and a native fish, in which the invaders affect the native fish through resource competition and an additional stress-induced mortality term. Equilibria and their local stability were analyzed by Jacobian linearization, the system was solved with the fourth-order Runge–Kutta method over 15 years, and normalized sensitivity indices and management scenarios were evaluated. All parameters and initial densities are hypothetical but literature-informed. The two invaders coexist at a locally asymptotically stable equilibrium (10,177 and 7,420 ind/km), whereas no positive three-species equilibrium exists and native exclusion is the only stable outcome. Without intervention, the native population declines by about 99% within 10 years. Competition accounts for more than 96% of the pressure on native fish, with janitor fish contributing about 61%, and native density is most sensitive to the janitor fish carrying capacity and the invasive-to-native competition coefficients. Harvesting janitor fish, even to complete removal or combined with habitat restoration, cannot keep native density above 50% of its carrying capacity, because gourami is released from competition. Effective management therefore requires the joint control of both invaders. These theoretical projections require field calibration before site-specific application.

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References

H. E. Roy et al., “Curbing the major and growing threats from invasive alien species is urgent and achievable,” Nat. Ecol. Evol., vol. 8, no. 7, pp. 1216–1223, 2024, doi: 10.1038/s41559-024-02412-w.

C. Bernery et al., “Freshwater fish invasions: A comprehensive review,” Annu. Rev. Ecol. Evol. Syst., vol. 53, pp. 427–456, 2022, doi: 10.1146/annurev-ecolsys-032522-015551.

D. Simberloff, “Maintenance management and eradication of established aquatic invaders,” Hydrobiologia, vol. 848, no. 9, pp. 2399–2420, 2021, doi: 10.1007/s10750-020-04352-5.

M. Henry et al., “Unveiling the hidden economic toll of biological invasions in the European Union,” Environ. Sci. Eur., vol. 35, Art. no. 43, 2023, doi: 10.1186/s12302-023-00750-3.

R. Dina et al., “Distributional mapping and impacts of invasive alien fish in Indonesia: An alert to inland waters sustainability,” Sains Malaysiana, vol. 51, no. 8, pp. 2377–2401, 2022, doi: 10.17576/jsm-2022-5108-04.

A. B. Orfinger and D. D. Goodding, “The global invasion of the suckermouth armored catfish genus Pterygoplichthys (Siluriformes: Loricariidae): Annotated list of species, distributional summary, and assessment of impacts,” Zool. Stud., vol. 57, Art. no. 7, 2018, doi: 10.6620/ZS.2018.57-07.

J. R. Britton, “Contemporary perspectives on the ecological impacts of invasive freshwater fishes,” J. Fish Biol., vol. 103, no. 4, pp. 752–764, 2023, doi: 10.1111/jfb.15240.

M. Maddern, “Trichopodus trichopterus (three spot gourami),” in CABI Compendium. Wallingford, U.K.: CABI, 2022, doi: 10.1079/cabicompendium.121020.

J. D. Murray, Mathematical Biology I: An Introduction, 3rd ed. New York, NY, USA: Springer, 2002, doi: 10.1007/b98868.

Windarto and Eridani, “On modification and application of Lotka–Volterra competition model,” AIP Conf. Proc., vol. 2268, no. 1, Art. no. 050007, 2020, doi: 10.1063/5.0017242.

N. Usman, A. D. Nento, E. M. Hendri, A. S. Biga, L. Sigar, and A. R. Nuha, “Analisis dinamik model predator-prey dengan efek pemanenan pada populasi ikan Nike (Awaous melanocephalus) di Provinsi Gorontalo [Dynamic analysis of a predator–prey model with harvesting effect on the Nike fish population in Gorontalo Province],” J. Math. Comput. Stat., vol. 7, no. 2, pp. 413–426, 2024, doi: 10.35580/jmathcos.v7i2.3461.

S. Raj, S. Devi, A. Joy, and A. B. Kumar, “On the reproductive biology of the invasive Armoured Sailfin Catfish Pterygoplicthys pardalis (Castelnau, 1855) (Siluriformes: Loricariidae) from the natural drainages in Thiruvananthapuram, India,” J. Threat. Taxa, vol. 13, no. 9, pp. 19263–19273, 2021, doi: 10.11609/jott.7164.13.9.19263-19273.

A. Hussan et al., “Invasive Amazon sailfin catfish (Pterygoplichthys pardalis) impacts the survivability and growth of native food fishes in India,” Aquat. Living Resour., vol. 38, Art. no. 5, 2025, doi: 10.1051/alr/2025002.

C. A. S. Rodrigues-Filho, R. C. Gurgel-Lourenço, and J. I. Sánchez-Botero, “First report of the alien species Trichopodus trichopterus (Pallas, 1770) in the state of Ceará, Brazil,” Braz. J. Biol., vol. 78, no. 2, pp. 394–395, 2018, doi: 10.1590/1519-6984.170472.

N. Bacaër, A Short History of Mathematical Population Dynamics. London, U.K.: Springer, 2011, doi: 10.1007/978-0-85729-115-8.

A. Tsoularis and J. Wallace, “Analysis of logistic growth models,” Math. Biosci., vol. 179, no. 1, pp. 21–55, 2002, doi: 10.1016/S0025-5564(02)00096-2.

A. J. Lotka, “Analytical note on certain rhythmic relations in organic systems,” Proc. Natl. Acad. Sci. USA, vol. 6, no. 7, pp. 410–415, 1920, doi: 10.1073/pnas.6.7.410.

V. Volterra, “Fluctuations in the abundance of a species considered mathematically,” Nature, vol. 118, no. 2972, pp. 558–560, 1926, doi: 10.1038/118558a0.

G. Hardin, “The competitive exclusion principle,” Science, vol. 131, no. 3409, pp. 1292–1297, 1960, doi: 10.1126/science.131.3409.1292.

S. Chen, J. Liu, and Y. Wu, “Invasion analysis of a two-species Lotka–Volterra competition model in an advective patchy environment,” Stud. Appl. Math., vol. 149, pp. 762–797, 2022, doi: 10.1111/sapm.12520.

G. F. Grether and K. W. Okamoto, “Eco-evolutionary dynamics of interference competition,” Ecol. Lett., vol. 25, no. 10, pp. 2167–2176, 2022, doi: 10.1111/ele.14091.

B. K. Thompson, A. J. Jensen, and S. J. Converse, “Mechanistic invasive species management models and their application in conservation,” Conserv. Sci. Pract., vol. 3, no. 11, Art. no. e533, 2021, doi: 10.1111/csp2.533.

F. Brauer and C. Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, 2nd ed. New York, NY, USA: Springer, 2012, doi: 10.1007/978-1-4614-1686-9.

C. S. Holling, “The components of predation as revealed by a study of small-mammal predation of the European pine sawfly,” Can. Entomol., vol. 91, no. 5, pp. 293–320, 1959, doi: 10.4039/Ent91293-5.

J. C. Butcher, Numerical Methods for Ordinary Differential Equations, 3rd ed. Chichester, U.K.: Wiley, 2016, doi: 10.1002/9781119121534.

N. Chitnis, J. M. Hyman, and J. M. Cushing, “Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model,” Bull. Math. Biol., vol. 70, no. 5, pp. 1272–1296, 2008, doi: 10.1007/s11538-008-9299-0.

S. Giaimo and A. Traulsen, “Age-specific sensitivity analysis of stable, stochastic and transient growth for stage-classified populations,” Ecol. Evol., vol. 12, no. 12, Art. no. e9561, 2022, doi: 10.1002/ece3.9561.